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International audience; In my paper at Inventiones 2009, we determine the cohomology of Lubin-Tate spaces globally using the comparison theorem of Berkovich by computing the fibers at supersingular points of the perverse sheaf of vanishing cycle Ψ of some Shimura variety of Kottwitz-Harris-Taylor type. The most difficult argument deals with the control of maps of the spectral sequences computing the sheaf cohomology of both Harris-Taylor perverse sheaves and those of Ψ. In this paper, we bypass these difficulties using the classical theory of representations of the mirabolic group and a simple geometric argument.; Dans [2], on détermine les groupes de cohomologie des espaces de Lubin-Tate par voie globale en calculant les fibres des faisceaux de cohomologie du faisceau pervers des cyclesévanescentscyclesévanescents Ψ d'une variété de Shimura de type Kottwitz-Harris-Taylor. L'ingrédient le plus complexe consistè a contrôler lesfì eches de deux suites spectrales calculant l'une les faisceaux de cohomologie des faisceaux pervers d'Harris-Taylor, et l'autre ceux de Ψ. Dans cet article, nous contournons ces difficultés en utilisant la théorie classique des représentations du groupe mirabolique ainsi qu'un argument géométrique simple. Abstract (Mirabolic group, ramified Newton stratification and cohomology of Lubin-Tate spaces) In [2], we determine the cohomology of Lubin-Tate spaces globally using the comparison theorem of Berkovich by computing the fibers at supersingular points of the perverse sheaf of vanishing cycle Ψ of some Shimura variety of Kottwitz-Harris-Taylor type. The most difficult argument deals with the control of maps of the spectral sequences computing the sheaf coho-mology of both Harris-Taylor perverse sheaves and those of Ψ. In this paper, we bypass these difficulties using the classical theory of representations of the mirabolic group and a simple geometric argument.

51 pages, in French, v2: extended introduction, journal version; International audience; The aim of this paper is to prove a generalization of the famous Theorem A of Quillen for strict $\infty$-categories. This result is central to the homotopy theory of strict $\infty$-categories developed by the authors. The proof presented here is of a simplicial nature and uses Steiner's theory of augmented directed complexes. In a subsequent paper, we will prove the same result by purely $\infty$-categorical methods.

This paper is meant as an introduction to a special issue on circulating mathematics via journals, from ca 1850 to 1950. It intends to study the practices, actors, places and institutions involved in mathematical circulation. Journals constitute one of the main carriers of mathematical knowledge and hence the main vehicle for its circulation. The focus of the paper is on ‘mathematical’ (understood very broadly) journals and the various forms of interplay between them. In order to understand and analyse the processes of circulation that are an important feature of mathematical production, the interactions that take place between journals are considered across different scales, from local practices and representations to more global appraisals. We shall use the notion of circulation space in order to break down the representations of the mathematical world in terms of the centres and peripheries suggested by the geographical area, with its massive publishing centres at different times – Paris, London, Berlin, Leipzig, New York, etc. Besides the geographical dimensions, the focus is on connections between journals, polarisations, competition, rivalries, etc.

This paper is an introduction to the theory of 1d stochastic Burgers equation under periodic boundary conditions and with a stochastic force, sufficiently smooth in the space variable. We prove the classical results on the existence and uniqueness of solutions, study their regularity and discuss their properties when the time goes to infinity or the viscosity goes to zero. The latter limit describes the turbulence in the Burgers equation, named by U. Frish "the burgulence". Our paper may be used as an elementary introduction to the modern methods of stochastic PDE., Comment: in French

Dans un r\'ecent article, Lagarias et Soundararajan \'etudient les solutions friables \`a l'\'equation a+b=c. Sous l'hypoth\`ese de Riemann g\'en\'eralis\'ees aux fonctions L de Dirichlet, ils obtiennent une estimation pour le nombre de solutions pond\'er\'ees par un poids lisse et une minoration pour le nombre de solutions non pond\'er\'ees. Le but de cet article est de pr\'esenter des arguments qui permettent d'une part de pr\'eciser les termes d'erreur et d'\'etendre les domaines de validit\'e de ces estimations afin de faire le lien avec un travail de la Bret\`eche et Granville, d'autre part d'obtenir le comportement asymptotique exact du nombre de solutions non pond\'er\'ees. In a recent paper, Lagarias and Soundararajan study the y-smooth solutions to the equation a+b=c. Under the Generalised Riemann Hypothesis, they obtain an estimate for the number of those solutions weighted by a compactly supported smooth function, as well as a lower bound for the number of bounded unweighted solutions. In this paper, we aim to prove a more precise estimate for the number of weighted solutions that is valid when y is relatively large with respect to x, so as to connect our estimate with the one obtained by La Bret\`eche and Granville in a recent work. We also prove the conjectured upper bound for the number of bounded unweighted solutions, thus obtaining its exact asymptotic behaviour., Comment: 20 pages

International audience; This paper aims to set out three perspectives of corporate social responsibility in order to question the conception that is tacitly implied regarding the responsibilities of a researcher in management sciences. In order to claim that research contributes to changes in professional practices we should question further the idea that the researcher in management sciences is confronted by the many social responsibilities within his empirical work, his framework-building and writing activities. The paper illustrates how these three conceptions of corporate social responsibility and that of the researcher, are implemented within various investigations currently on-going within the child consumption field. This analysis highlights certain prior suppositions relating to corporate social responsibility and that of a researcher in management sciences, and offers an heuristic framework in order to facilitate the scientific dialogue.; L’article propose de distinguer trois perspectives sur la responsabilité sociale de l’entreprise afin d’interroger la conception implicite de la responsabilité du chercheur en gestion qu’elles induisent. Affirmer que la recherche contribue à transformer les pratiques professionnelles conduit à approfondir l’idée que le chercheur en gestion est confronté au cœur de son travail empirique, de son activité de modélisation et d’écriture, à un ensemble de responsabilités sociales. L’article illustre comment ces trois conceptions de la responsabilité sociale de l’entreprise et du chercheur sont mises en œuvre dans le cadre de diverses investigations actuellement conduites dans le champ de la consommation enfantine. Cette analyse met en lumière certains présupposés relatifs à la responsabilité sociale de l’entreprise et à celle du chercheur en gestion et offre un cadre heuristique visant à faciliter le dialogue scientifique.

International audience; It was proved that Euler-Maxwell systems converge globally-in-time to driftdiffusion systems in a slow time scaling, as the relaxation time goes to zero. The convergence was established to the Cauchy problem with smooth periodic initial data sufficiently close to constant equilibrium states. In this paper, we establish error estimates between smooth periodic solutions of Euler-Maxwell systems and those of drift-diffusion systems. Similar error estimates are also obtained for Euler-Poisson systems in place of Euler-Maxwell systems. The proof of these results uses stream function techniques together with energy estimates. Résumé. Il a été prouvé que des systèmes d'Euler-Maxwell convergent globalement en temps vers des systèmes de dérive-diffusion dans une échelle de temps lent, lorsque le temps de relaxation tend vers zéro. La convergence a éte établie au problème de Cauchy avec données initiales régulières périodiques suffisamment proches d'états d'équilibres constants. Dans cet article, nous établissons des estimations d'erreur entre les solutions régulières périodiques des systèmes d'Euler-Maxwell et celles des systèmes de dérivediffusion. Des estimations d'erreur similaires sont aussi obtenues pour des systèmes d'Euler-Poisson au lieu des systèmes d'Euler-Maxwell. Nous utilisons des techniques de fonctions de courant et des estimations d'energies pour la démonstration de ces résultats.

In his 1983 paper [3], R. F. Gundy introduced a new functional related to the Littlewood-Paley theory, called the density of the area integral. In this paper, we prove that this functional (although highly non-linear) can be expressed as the principal value of an explicit singular integral. This result provides us with a new and precise connection between the density of the area integral and the theory of Calderón-Zygmund operators. It does not seem to be a consequence of the standard Calderón-Zygmund-Cotlar theory, because the sign of a harmonic function in the half-space fails to have, in some appropriate sense, boundary limits.

Version incluant des corrections mineures à la version publiée. Ajout d'une note à la fin.; International audience; This paper is a continuation of the papers "Moduli spaces of decomposable morphims of sheaves and quotients by non-reductive groups" and "Espace abstraits de morphismes et mutations". I show here that the method used in the first paper to construct moduli spaces of morphisms and the one used in the second paper to extend the results of the first are particular cases of a more general method of construction of algebraic quotients. It is based on the notion of quasi-isomorphism. Let G, G' algebraic groups acting on algebraic varieties X, X' respectively. A quasi-morphism is a map $X/G\longrightarrow X'/G'$ that can be everywhere locally lifted to morphisms from open subsets of X to X' (plus some additional technical conditions...). A quasi-isomorphism is a quasi-morphism which is bijective and whose inverse is also a quasi-morphism. If there is a quasi-isomorphism between X and X'it is possible to deduce the existence of algebraic quotients of open subsets of X from the existence of quotients of the corresponding open subsets of X'. The method used to construct moduli spaces of morphisms is extended in this paper to complexes of decomposables sheaves.

Our aim in this paper is to show that the set $G_j(A)\cup \{0\}$, where $G_j(A)$ is the set of all J-invertible elements of a topological Jordan algebra $A$ without J-g.t.d.z, is isomorphic to $\mathbb{C}$ in the complex case. In the real case it is a $p$-normed quadratic J-division subalgebra of $A$. This result extends a well-known result of W. Żelazko ([11]) in the associative case to Jordan algebras.

In this paper, via the study of the modifications of vector bundles on the Fargues-Fontaine curve, we prove a geometric formula relating the Lubin-Tate towers with the simple basic unramified Rapoport-Zink spaces of EL type of signature $ (1, n-1), (p_1, q_1), \cdots, (p_k, q_k) $ where $ p_iq_i = 0 $. In particular, we deduce the computation of the cohomology groups of the latter., in French

National audience; This paper intends to show how executives of social integration associations run tensions –organizing, performance, belonging and learning – through the integration of both dimensions – social and economic – with the aim of implementing equilibrium of tensions. Based on two case studies of French work integration social associations (mental health disabled people, single and unemployed women), our results show both organizations similarly give positively internal feedbacks to make coexist the two salient tensions (performing and organizing). However, even if the two other tensions (belonging and learning) are still latent, we point out how much they could emerge as salient and then should be considered.; L’objectif de cet article est de montrer comment les dirigeants d’organisations d’insertion sociale gèrent les tensions qui portent sur la performance (performing), l’organisation interne (organizing), l’identité (belonging) et la stratégie (learning), en recherchant à maintenir un équilibre entre les deux dimensions, sociale et commerciale. Sur la base de l’étude de deux cas constitués par des associations d’insertion par le travail (personnes handicapées mentales et femmes isolées et éloignées de l’emploi), les résultats montrent que ces organisations apportent des réponses communes, en interne, favorables à la coexistence des deux tensions saillantes (performing et organizing) alors que les deux autres tensions (belonging et learning), qui sont encore latentes, pourraient émerger comme saillantes et ne doivent donc pas être négligées.

Informal strategies reflecting the representation of a situation described in an arithmetic word problem mediate students’ solving processes. When the informal strategies are inefficient, teaching students to make way for more efficient ways to find the solution is an important educational issue in mathematics. The current paper presents a pedagogical design for arithmetic word problem solving, which is part of a first-grade arithmetic intervention (ACE). The curriculum was designed to promote adaptive expertise among students through semantic analysis and recoding, which would lead students to favor the more adequate solving strategy when several options are available. We describe the ways in which students were taught to engage in a semantic analysis of the problem, and the representational tools used to favor this conceptual change. Within the word problem solving curriculum, informal and formal solving strategies corresponding to the different formats of the same arithmetic operation, were comparatively studied. The performance and strategies used by students were assessed, revealing a greater use of formal arithmetic strategies among ACE classes. Our findings illustrate a promising path for going past informal strategies on arithmetic word problem solving.

Pre-print of a publication in "Annales math\'ematiques du Qu{\'e}bec". Let $k$ be a totally real number field and let $k_\infty$ be its cyclotomic $\mathbb{Z}_p$-extension for $p$ totally split in $k$. This text completes our article entitled: "Approche $p$-adique de la conjecture de Greenberg pour les corps totalement r\'eels" (Annales Math\'ematiques Blaise Pascal 2017), by means of heuristics on the $p$-adic behavior of the norms, in $k_n/k$, of the ideals in $k_\infty$ ; indeed, this conjecture (on the nullity of the invariants $\lambda$ et $\mu$ of Iwasawa) depends of images in the torsion group ${\mathcal T}_k$ of the Galois group of the maximal abelian $p$-ramified pro-$p$-extension of $k$, thus of Artin symbols in a finite extension $F/k$ obtained by Galois descent of ${\mathcal T}_k$. An assumption of distribution of these norms implies $\lambda=\mu=0$. Several statistics and numerical examples in the quadratic case confirm the probable exactness of such properties which constitute the fundamental obstruction for a proof of Greenberg's conjecture in the sole context of Iwasawa's theory., Comment: in French, Completes with numerical computations and heuristics our previous paper arXiv:1611.09592 on Greenberg's conjecture. Annales math{\'e}matiques du Quebec, A para{\^i}tre

International audience; Let p be a prime number, and let K/k be a finite Galois extension of number fields with Galois group ∆ of order coprime to p. Let S be a finite set of non archimedean places of k including the set S_p of p-adic places, and let K_S be the maximal pro-p extension of K unramified outside S. Let G := G_S/H be a quotient of G_S :=Gal(K_S/K) on which ∆ acts trivially. Put X := H/[H, H]. In this paper, we study the ϕ-component X^ϕ of X for all Q_p-irreductible characters ϕ of ∆, and, in particular, by assuming Leopoldt conjecture we show that for all non-trivial characters ϕ, the Zp[[G]]-module X^ϕ is free if and only if the ϕ-component of the Z_p-torsion of G_S/[G_S, G_S] is trivial. We also make a numerical study of the freeness of X^ϕ in cyclic extensions K/Q of degree 3 and 4 (by using families of polynomials given by Balady, Lecacheux and more recently by Balady and Washington), but also in degree 6 dihedral extension over Q: the results we get support a recent conjecture of Gras.; Soit p un nombre premier et soit K/k une extension galoisienne finie de corps de nombres de groupe de Galois ∆ d’ordre étranger à p. Soit S un ensemble fini de places finies de k contenant l’ensemble S p des places p-adiques et soit KS la pro-p-extension maximale de K non-ramifiée en dehors de S. Soi tG:“GS{Hun quotient de GS:“Gal KS/K) sur lequel ∆ agit trivialement. Posons X:“H{rH, Hs. Dans ce travail,nous étudions la φ-composante X φ de X pour les caractères Qp-irréductibles φ de ∆ et nous montrons entre autres, sous la conjecture de Leopoldt et pour tout caractère non trivial φ, que X φ est ZpvGw-libre si et seulement si la φ-composante de la Zp-torsion de Gs /{Gs, Gs est triviale. Nous faisons également une étude numérique sur la liberté de Xφ dans des extensions cycliques K{Qde degré 3 et de degré 4 (`a partir de familles de polynômes données par Balady, Lecacheux et plus récemment par Balady et Washington),et ainsi que dans des extensions diédrales de degré 6 de Q. Les résultats de nos calculs renforcent une récente conjecture de Gras

International audience; Food systems re-localisation, through local food networks, is considered a mean to foster regional sustainable development. Wholesalers and retailers are involved in these dynamics. However, they are neglected in literature as well as in public initiatives. Moreover, researches associated to these issues are mainly focused on supermarket chains neglecting independent retailers and wholesalers. The objective of the paper is twofold. First, to show the role these intermediaries play in the relocalisation of food chains. Second, we posit perspectives for future research about these issues.; La relocalisation des systèmes alimentaires (SA), à travers notamment les initiatives de type « circuits alimentaires de proximité », est perçue comme un outil au service du développement durable des territoires. Les détaillants et grossistes participent largement à ces dynamiques mais sont peu pris en considération dans la littérature et dans les initiatives des acteurs des territoires. Par ailleurs, la plupart des travaux qui peuvent être rattachés à ces questions se focalisent sur la grande distribution sans considérer les grossistes et détaillants indépendants alors que ces acteurs ont conservé un poids non négligeable dans les SA et participent également aux tendances de relocalisation. Cettecontribution vise à (1) montrer le rôle et la place des détaillants et grossistes indépendants dans les dynamiques de relocalisation des systèmes alimentaires ; (2) poser des perspectives de recherche sur ces questions.

L’articolo propone la prima trascrizione dal manoscritto Leid. BPG 89, ff. 94r-103r, contenente il commentario di A. Emper al 6° discorso di Dione Crisostomo. In una breve introduzione all’inedito ci si propone di illustrare alcune delle più importanti novità introdotte dall’erudito con riguardo alla constitutio textus, così come di fornire nuove proposte critico-esegetiche. The paper proposes the first transcription of the manuscript Leid. BPG 89, ff. 94r-103r, containing A. Emper’s commentary on the 6th discourse of Dio Chrysostom. In a short introduction to the unpublished work we intend to illustrate some of the most important new points introduced by the scholar concerning the constitutio textus, as well as to provide new critical and exegetical suggestions.

Cet article se propose de décrire les principaux outils d’analyse de l’« histoire du genre » appliquée au monde antique. L’étude des textes et des images du monde gréco-romain révèle en effet une construction des catégories sexuelles et un fonctionnement du genre très différents de ceux de nos sociétés contemporaines occidentales : dans l’Antiquité, la différenciation sexuelle n’y est pas le critère de catégorisation centrale et, en Grèce comme à Rome, l’opposition homosexualité / hétérosexualité n’est pas pertinente. La démarche de l’historien s’apparente à celle de l’anthropologue : mieux comprendre les sociétés étudiées suppose de porter préalablement un regard scientifique sur des catégories contemporaines que l’on s’imagine souvent universelles, voire naturelles. Cette « historicisation » du sexe et de la sexualité permet d’éviter les projections et les anachronismes, et de mieux connaître les sociétés dans leur ensemble. Cette approche met en évidence également que, dans ces mondes d’« avant la sexualité », la notion même d’identité personnelle est à interroger. The aim of this paper is to describe for classicists the main analytical tools used for gender history for classicists. Indeed the study of texts and images of the Greek and the Roman worlds shows that the way they built sex categories and the pattern that they applied to gender are very different from those in our modern western societies. There, sexual discrimination was not the main criteria which helped define categories; in Greece as well in Rome, the opposition we make between homosexuality and heterosexuality was not relevant. Historians proceed much like anthropologists: in order to better understand the societies under study, one must first use a scientific approach to contemporary categories which are often assumed as being universal, if not natural. The historicization of sex and sexuality help rule out misunderstandings and anachronisms and give a better knowledge of whole societies. Such an approach will also show how necessary it is to question the very notion of identity in those worlds of “before sexuality”.

Dans cet article j’entends montrer que les trois occurrences du participe parfait du verbe μιμέομαι dans Aristote, Rhét. I 11 sont moyennes (avec un sens actif) et qu’elles se réfèrent au μίμημα. En réalité, cette question philologique très spécifique cache un enjeu théorique important, dans la mesure où elle s’insère dans une critique plus vaste de l’idée que l’accusatif régi par ce verbe peut être un objet effectué, c’est-à-dire le produit lui-même qui fonctionne comme un μίμημα. In this paper I aim to show that the three occurrences of the perfect participle of the verb μιμέομαι in Aristotle, Rhet. I 11 are middle forms (with an active sense) and refer to the μίμημα. In fact, this very specific philological question discloses a theoretical issue, in that it partakes of a wider criticism of the idea that the accusative governed by this verb can be an effected object, i. e. the product itself which works as μίμημα.

Dans le débat sur « l’historisme » qui traverse la science allemande de l’entre-deux-guerres, Werner Jaeger, philologue et figure de proue du « Troisième humanisme », entendait rétablir les ponts selon lui rompus entre la « science » et la « vie ». Inscrit dans la tradition allemande de retour aux Grecs héritée du XIXe siècle, le mouvement dont il se fit le promoteur se proposait de renouer une fois encore avec la source grecque pour fonder un nouvel humanisme. Rompant avec le classicisme esthétisant du néo-humanisme de la Goethezeit, il invitait la communauté des antiquisants à interroger la dimension politique de l’héritage hellénique. Le Troisième humanisme se construit ainsi entre la science et la vie, à la croisée du processus de construction des savoirs sur la Grèce ancienne et de l’engagement dans les débats contemporains. Afin d’évaluer la portée du discours humaniste de Jaeger, le présent article, situé dans la perspective d’une histoire de la réception de l’Antiquité à l’époque moderne, se propose d’examiner celui-ci à la lumière du va-et-vient qu’il opère entre le présent de l’Allemagne et le passé de la Grèce. Within the debate about the so-called “historicism” which occurred in the realm of German scholarship between the Wars, Werner Jaeger, a philologist and a leading figure of what has been called the “Third Humanism”, wanted to rebuild the bridges between “science” and “life” which were broken according to him. In the wake of the German tradition of return to the Greeks inherited from the 19th century, the movement he promoted intended to revive the link with the Greek “source” in order to set up a new humanism. At odds with the aesthetic classicism of the neo-humanistic generation, he invited the community of German scholarship to enhance the political dimension of the Hellenic legacy. Thus, Werner Jaeger’s “Third Humanism” was elaborated between “science” and “life”, between the process of construction of knowledge about Ancient Greece and the participation in the contemporary debates. Written in the perspective of a history of reception of Antiquity in modern ages, the present paper aims at studying Jaeger’s humanistic discourse in the light of the switching back and forth it establishes between contemporary Germany and the Greek past, so as to reassess his significance.

Let $k$ be a field and $X \subset P^3_{k}$ a smooth cubic surface. Let $\Delta \subset Pic(X)$ be the finite index subgroup spanned by norms of lines on $X_{K}$ for $K$ running through the finite separable extensions of $k$. The quotient $Pic(X)/\Delta$ is 3-primary. If $X$ contains a line defined over $k$, then $\Delta=Pic(X)$., Comment: 8 pages, in French; now a joint paper with Daniel Loughran; this version supersedes the earlier arXiv text with the same title; to appear in Pure and Applied Mathematics Quaterly (issue in honour of Prof. Manin's 80th birthday)

Let $P^+(n)$ denote the largest prime factor of the integer $n$ and $P_y^+(n)$ denote the largest prime factor $p$ of $n$ which satisfies $p\leqslant y$. In this paper, firstly we show that the triple consecutive integers with the two patterns $P^+(n-1)>P^+(n)P^+(n+1)$ have a positive proportion respectively. More generally, with the same methods we can prove that for any $J\in \mathbb{Z}, J\geqslant3$, the $J-$tuple consecutive integers with the two patterns $P^+(n+j_0)= \min\limits_{0\leqslant j\leqslant J-1}P^+(n+j)$ and $P^+(n+j_0)= \max\limits_{0\leqslant j\leqslant J-1}P^+(n+j)$ also have a positive proportion respectively. Secondly for $y=x^{\theta}$ with $0, Comment: in French

Dans cet article, nous nous intéressons aux dimensions de certaines variétés qui ont été introduites récemment par Kisin pour démontrer la modularité de certaines représentations galoisiennes. Nous étudions plus spécialement un cas particulier pour lequel nous donnons une estimation de la dimension en question, puis, en nous basant sur ce résultat, nous énonçons une conjecture dans le cas général. In this paper, we study dimensions of some varieties, that were introduced recently by Kisin in order to prove modularity of some Galois representations. In fact, we mainly consider a special case for which we obtain an estimation of the dimension we are interested in. Then, based on this result, we state a conjecture for the general case.

International audience; This paper focuses on the role of visual representations of climate change (CC) and individual decarbonisation project. From this perspective, the Q-method, which is essentially based on the collage technique, is used. Our findings show that only a small percentage of consumers are actually focused on alternative imaginaries of consumption such as those related to decarbonisation. CC communication seems to activate more perceptions about the causes and consequences of CC than about specific solutions. These results are discussed in terms of marketing strategies.; Cet article s’intéresse au rôle des représentations visuelles du changement climatique (CC) et au projet de la décarbonisation individuelle. Dans cette perspective, la méthode-Q, reposant principalement sur la technique du collage, est utilisée. Nos résultats montrent que seul un faible pourcentage de consommateurs mobilisent réellement des imaginaires de consommation alternatifs comme ceux liés à la décarbonisation. La communication sur le CC tend en effet à activer des perceptions ayant davantage trait aux causes et conséquences du CC plutôt qu’aux solutions. Ces résultats sont discutés sous l’angle de stratégies marketing.

International audience; In this paper, we reexamine the specificities of the writing of the case in psychiatry and psychoanalysis , starting from the great observation made by Freud himself that the psychoanalytical « narratives of cases » were more a matter of the « novel » than of the psychiatric « certificate ». It is a matter of thinking about this originality of writing in its own right, in that it makes the case of the subject, thereby realizing the displacement of the center of gravity involved in « psychiatric observation ». This makes it possible to discern a contrario the logic of the Freudian reproach addressed to the psychiatric gaze, regularly accused by Freud of being struck with a sort of forbidden to see, since it excludes the unconscious conditioning of the symptom. There would be a sort of medical blindness in front of the clinical picture – blindness contrasting with voyeurism by definition, a clinic of the sign. This finally allows us to consider the Freudian posture in front of the clinical picture, as Freud has theorized it in the bend of his analysis of the « Moses of…; On entend ici réinterroger les spécificités de l'écriture du cas en psychiatrie et en psychanalyse en repartant du grand constat, fait par Freud lui-même, que les « récits de cas » psychanalytiques tenaient plus du « roman » que du « certificat » psychiatrique. Il s'agit de penser cette originalité d'écriture en propre, en ce qu'elle fait cas du sujet, réalisant du même coup le déplacement du centre de gravité en cause dans « l'observation psychiatrique ». Cela permet de dégager a contrario la logique du reproche freudien adressé au regard psychiatrique, régulièrement accusé par Freud d'être frappé d'une sorte d'interdit de voir, dès lors qu'il exclut le conditionnement inconscient du symptôme. Il y aurait là une sorte d'aveuglement médical devant le tableau clinique – la cécité contrastant d'autant avec le voyeurisme animant par définition une clinique du signe. Cela permet finalement d'envisager la posture freudienne devant le tableau clinique, telle que Freud l'a théo-risée au détour de son analyse du « Moïse de Michel-Ange » en convoquant les travaux d'attribution scientifique du célèbre Giovanni Morelli. On souligne alors la portée de l'analogie existant entre cette méthode analytique inédite, et l'attitude proprement psychanalytique devant le tableau clinique. Mots clés Cas ; Kraepelin ; Morelli ; psychiatrie ; sémiologie ; tableau clinique.

We study the geometry and the cohomology of the tamely ramified cover of Drinfeld’s p-adic symmetric space over a p-adic field K. For this tame level, we prove, in a purely local way, most of a conjecture of Harris on the form of the $$\ell $$ -adic cohomologies, as well as the torsion freeness of the integral cohomology. In this paper, we also compute the $$\ell $$ -adic cohomology of Coxeter Deligne–Lusztig variety associated to $$\mathrm{GL}_d,$$ and some results of independent interest on the coefficient systems over the Bruhat–Tits building associated to $$\mathrm{GL}_d(K)$$ have been established.

This paper considers Banach algebras with properties 𝔸 or 𝔹, introduced recently by Alaminos et al. The class of Banach algebras satisfying either of these two properties is quite large; in particular, it includes C*-algebras and group algebras on locally compact groups. Our first main result states that a continuous orthogonally additive n-homogeneous polynomial on a commutative Banach algebra with property 𝔸 and having a bounded approximate identity is of a standard form. The other main results describe Banach algebras A with property 𝔹 and having a bounded approximate identity that admit non-zero continuous symmetric orthosymmetric n-linear maps from An into ℂ.

Le malade alcoolique est souvent redouté par la répétition de ses conduites, en référence au traditionnel « qui a bu, boira ». Il est aussi fréquemment réduit à une présupposée mauvaise foi et à des réticences à parler de ses troubles ou de lui-même, rapidement résumées sous le nom générique de déni.La situation du soigné sera envisagée dans cet article, à travers ses possibles difficultés à communiquer et à investir le support de la parole, à la lumière de diverses références complémentaires neurocognitives (de négligence, d’anosognosie, d’apathie…) ou psychodynamiques (d’apsychognosie, d’alexithymie, d’altération de lecture de l’esprit de la théorie de l’esprit), délimitant ainsi en négatif les contours de la notion classique de déni en alcoologie.Après avoir passé en revue la diversité des formes du déni, de ses présentations et de ses registres, le texte envisagera les fonctions de cette négation, la considérant essentiellement en alcoologie comme une dénégation, plutôt que comme un déni.L’objectif de cette revue théorique est de proposer aux soignants de faire-avec et de s’adapter, plutôt que de simplement lutter contre. Enfin, et en contrepoint, la question du déni des soignants sera considérée comme une altérnative présente, voire prédominante., Alcoholic patient is often dreaded thanks to the repetition of his conducts, with reference to the traditional “who’s been drinking, will drink again”. He is also being limited to a presupposed dishonesty, or reduced to his difficulties to talk about his disturbances, his confusion or even simply to his reluctance to talk about himself. Too quickly, one’s may shut the patient up to the generic “in denial”.The situation of to be taking care of person will be considered in this paper through possible difficulties to communicate and/or difficulties to count on the support of language, since there are various neurocognitive additional symptoms (neglect, anosognosia, apathy…) or psychodynamic signs (of apsychognosy, alexithymia, mind-reading impairment of the theory of mind), thus resulting into even more negative limitations than the useful edges of the classical concept of denial found in alcohology field.After reviewing the diversity of what forms denial can reveal, what ways it may take, the text will consider the functions of this negation (in French denegation), with the accent put on focusing denial in the alcohology field as a negation, rather than a denial.The aim of this theoretical review is to suggest to caregivers to compose with it and to take it into account, rather than to fight against it. At least, and to balance the reflection, the question of caregivers’ denial, or negation, will be considered as an accurate, even prevailing, alternative key for analysis., Se teme a menudo que el enfermo alcohólico repita sus conductas, como lo demuestra el dicho “quien bebió, beberá”. Se lo reduce también con frecuencia a una supuesta mala fe y a presentar reticencias a hablar de sus problemas o de sí mismo, lo que se resume rápidamente bajo el nombre genérico de negación.En este artículo se considera la situación del paciente, a través de sus posibles dificultades para comunicarse y dedicar el apoyo de la palabra, a la luz de diferentes referencias complementarias neurocognitivas (de negligencia, de anosognosia, de apatía…) o psicodinámicas (de apsicognosia, de alexitimia, de alteración de lectura del espíritu de la teoría del espíritu), delimitando así en negativo los contornos de la noción clásica de negación en alcohología.Luego de haber pasado en revista las diversas formas de la negación, de sus presentaciones y de sus registros, el texto encarará las funciones de esta negación, considerándola esencialmente en alcohología como una denegación más que como una negación.El objetivo de esta revisión teórica es el de proponer al personal sanitario de componer con el hecho y adaptarse más que simplemente luchar contra el mismo. Finalmente, y en contrapartida, la cuestión de la negación del personal sanitario se considerará como una alternativa actualmente predominante.

An integer is said to be $y$-friable if its greatest prime factor is less than $y$. In this paper, we obtain estimates for exponential sums over $y$-friable numbers up to $x$ which are non-trivial when $y \geq \exp\{c \sqrt{\log x} \log \log x\}$. As a consequence, we obtain an asymptotic formula for the number of $y$-friable solutions to the equation $a+b=c$ which is valid unconditionnally under the same assumption. We use a contour integration argument based on the saddle point method, as developped in the context of friable numbers by Hildebrand & Tenenbaum, and used by Lagarias, Soundararajan and Harper to study exponential and character sums over friable numbers., 31 pages, in French

Let B ( ϑ ) B (\vartheta ) denote the first normalised Bernoulli function, and consider the series f ( ϑ ) := ∑ n ⩾ 1 B ( n ϑ ) / n f(\vartheta ):=\sum _{n\geqslant 1}B(n\vartheta )/n . In a previous paper, we determined the set E ∗ E^* of those real numbers ϑ \vartheta at which f ( ϑ ) f(\vartheta ) converges. Let B 2 ( ϑ ) B_2(\vartheta ) designate the second Bernoulli function and let ⟨ t ⟩ \langle t\rangle denote the fractional part of the real number t t . Put F ( ϑ ) := ∑ n ⩾ 1 B 2 ( n ϑ ) / 2 n 2 = π 2 / 72 + ∫ 0 ϑ f ( t ) d t . F(\vartheta ):=\sum _{n\geqslant 1}{B_2(n\vartheta )/ 2n^2}=\pi ^2/72+\int _0^\vartheta f(t)\mathrm {d} t. It has been shown by Báez-Duarte, Balazard, Landreau and Saias (2005) that F ( ϑ ) F(\vartheta ) and ∫ 0 ∞ ⟨ t ⟩ ⟨ ϑ t ⟩ d t / t 2 \int _0^\infty \langle t\rangle \langle \vartheta t\rangle \mathrm {d} t/t^2 have the same differentiability points. Moreover, using delicate functional equations, Balazard and Martin recently proved that the corresponding set is precisely E := E ∗ ∖ Q E:=E^*\smallsetminus \mathbb {Q} and that F ′ ( ϑ ) = f ( ϑ ) F’(\vartheta )=f(\vartheta ) whenever ϑ ∈ E \vartheta \in E . We provide a short, direct proof of this last result, based on standard results from Diophantine approximation theory and uniform distribution theory.

Euclid’s lemma can be derived from the algebraic gcd property, but it is not at all apparent that Euclid himself does this. We would be quite surprised if he didn’t use this property because he points it out early on and because we expect him to make use of the Euclidean algorithm in some significant way. In this paper, we explore the question of just how the algebraic gcd property enters into Euclid’s proof, if indeed it does. Central to Euclid’s development is the idea of four numbers being proportional: a is to b as c is to d. Euclid gives two different definitions of proportionality, one in Book VII for numbers (“Pythagorean proportionality”) and one in Book V for general magnitudes (“Eudoxean proportionality”). We will discover that it is essential to keep in mind the difference between these two definitions and that many authorities, possibly including Euclid himself, have fallen into the trap of believing that Eudoxean proportionality for numbers is easily seen to be the same as Pythagorean proportionality. Finally, we will suggest a way to make Euclid’s proof good after 2300 years.

The American Relief Administration operations against famine in Russia in the 1920s are outstanding both by their scope (nearly 10 million people fed daily in August 1922) and by the methods that have been deployed. Based on both American and Russian sources, the paper shows how philanthropy has taken the form of a genuine “business of relief” : a combination of managerial methods (organization, profit maximization, no obvious compassion to beneficiaries) and military practices. The ARA grows indeed out of the First World War : not only did the first distributed aid come from American stocks in Europe, but that’s when its leaders have gained experience and when the methods of managing populations were tested. The article also shows how the ARA was able to protect its independence from the Soviet government, despite attempts by the latter to control it, and suggests that a convergence in methods (permanent mobilization of the population and fascination with Taylorism), may have contributed to the acceptance of the ARA among Soviet leaders. Finally, the article recalls how the rural population received the envoys of the ARA, and how the organization was forced to adapt its activity, relinquishing aspirations of scientific organization to face the devastation of the country., Les opérations menées par l’American Relief Administration contre la famine dans la Russie dans les années 1920 se distinguent tant par leur ampleur (près de 10 millions de personnes nourries chaque jour en août 1922) que par les méthodes qui ont été déployées. S’appuyant à la fois sur des sources américaines et russes, l’article montre comment la philanthropie a ici pris la forme d’un véritable « business of relief », combinaison de méthodes managériales (organisation, maximisation du profit, absence de compassion manifeste envers les bénéficiaires) et de pratiques militaires. L’ARA est en effet née de la Première Guerre mondiale : non seulement les premiers stocks distribués en sont issus, mais c’est là que ses dirigeants ont acquis une expérience et que les méthodes de gestion des populations ont été testées. L’article montre également comment l’ARA a su se ménager une véritable marge d’indépendance par rapport au pouvoir soviétique, malgré les tentatives de celui-ci de le contrôler, et suggère qu’une convergence de méthode, basée sur la mobilisation permanente de la population et une fascination pour le taylorisme, a pu contribuer à l’acceptation de l’ARA. L’article rappelle enfin la manière dont la population des campagnes a reçu les envoyés de l’ARA, et comment celle-ci a adapté son action, abandonnant certaines aspirations ou méthodes scientifiques face à l’état de dévastation du pays.

This paper is a continuation of [2], [9] and [10]. Its aim is to characterize non-removable ideals in the class ${\cal M}$ of all multiplicatively convex bornological algebras. Let $A$ be in ${\cal M}$. We show that an ideal $I\subset A$ is ${\cal M}$-non-removable if and only if it consists of joint m-bounding elements (D\'ef. 9). Such an ideal doesn't consist, in general, of joint bounding elements (D\'ef. 8). This shows that the concept of ${\cal M}$-non-removable ideals is of relative character (D\'ef. 4).

Polarized and $G$-polarized CR manifolds are smooth manifolds endowed with a double structure: a real foliation $\Cal F$ (given by the action of a Lie group $G$ in the $G$-polarized case) and a transverse CR distribution $(E,J)$. Polarized means that $(E,J)$ is roughly speaking invariant by $\Cal F$. Both structures are therefore linked up. The interplay between them gives to polarized CR-manifolds a very rich geometry. In this paper, we study the properties of polarized and $G$-polarized manifolds, putting special emphasis on their deformations., Comment: In French. Improved statements. Main Theorems 10.1 and 13.1 are now proved without any metric condition. Also, some remarks added, typos removed and some references added

Le travail creuse la question de la relation à l’objet et ses potentialités déshumanisantes, c’est-à-dire désobjectalisantes et désubjectisantes, à partir de la lentille grossissante de la situation extrême, au niveau collectif (notamment dans le trauma historique la Shoah) et individuel (la clinique des tueurs en série). On essaye de montrer combien cette potentialité soit présente, voire plus ou moins a minima réalisés, dans le modèle contemporain de la relation à l’objet alimenté par la collusion de plusieurs facteurs, parmi lesquels la logique néoliberale extendue à l’humain, la présence envahissante des relations virtuelles et la tendance ‘humaine trop humaine’ vers le narcissisme mortifère. En dialogue avec la psychanalyse, on utilise la pensée philosophique de Agamben sur le concept de dispositif et la perspective de Han sur la contemporanéité. The present work explores the question of the relationship to the object and its dehumanising potential, i.e., deobjectalising and de-subjectising, through the magnifying lens of the extreme situation, both at the collective level - particularly in the historical trauma of the Shoah - and at the individual level - the clinics of serial killers. The paper shows how much this potentiality is present, or even more or less minimally realised, in the contemporary model of the relation to the object fuelled by the collusion of several factors, among which the neo-liberal logic extended to the human, the invasive presence of virtual relations and the 'human too human' tendency towards mortifying narcissism. In dialogue with psychoanalysis, the paper makes use of Agamben’s philosophical thinking on the concept of device and Han’s perspective on contemporaneity.

Le gouvernement libéral du Canada élu majoritaire le 19 octobre 2015 avait dans ses promesses électorales la légalisation du cannabis. Il tiendra parole. Un document de discussion fut publié en juin 2016 donnant les assises au Groupe de travail sur la légalisation et la réglementation du cannabis qui a rendu son rapport le 30 novembre 2016. Ce rapport, a expliqué le gouvernement, sera un des outils pour élaborer son cadre législatif et servira de base aux discussions avec les provinces et territoires, de même qu’avec les experts qui auront à gérer ce cadre réglementaire. Dans cet article, nous verrons les principaux défis politiques, sociaux et économiques qui attendent le gouvernement dans ces discussions avec les provinces et territoires, de même qu’avec les experts en ce qui a trait aux recommandations du rapport. Il s’organise autour des questions posées sur les cinq aspects de la réglementation dans le document de discussion. Pour identifier ces défis, en plus des apprentissages retenus par les études sur la situation au Colorado et à Washington, se grefferont les apprentissages des études quant à la gestion actuelle des drogues légales. En premier lieu sont exposés les défis liés à l’arrivée même de cette loi, puis ceux qui touchent à l’objectif de santé publique, au système de production, de transformation et de distribution, au contrôle du cadre réglementaire, et enfin, à la question plus spécifique du cannabis à des fins thérapeutiques. Nous verrons pourquoi l’application de cette loi sera complexe, coûteuse et pourra aisément dévier des objectifs de départ. Une surveillance à court et à long terme sera nécessaire pour s’assurer que les différents niveaux de gouvernement conservent la primauté de la santé publique et considèrent l’usage du pénal en dernier recours., On October 19th, 2015, the Liberal government of Canada, which was elected with a majority, had in its election promises the legalization of cannabis. He will follow through with this promise. A Discussion Paper was issued in June 2016 setting the stage for the Working Group on Legalization and Regulation of Cannabis, which issued its Report on November 30th 2016. This Report, the Government explained, will be one of the tools to develop its legislative framework and will serve as a basis for discussions with Provinces and Territories, as well as experts who will have to manage this regulatory framework. In this article, we will see the main political, social and economic challenges facing the Government in these discussions with the Provinces and Territories, as well as experts, considering the recommendations of the Report with respect to the questions posed on the five aspects of regulation in the Discussion Paper. To identify these challenges, in addition to the lessons learned from the studies regarding the situation in Colorado and Washington, will be grafted the learning of the studies on the current management of legal drugs.Firstly, the challenges related to the very arrival of this law are outlined. Subsequently, the challenges related to the public health objective, the production, processing and distribution system, the regulatory framework, and the more specific issue of cannabis for therapeutic purposes will be exposed.We will see why the application of this law will be complex, costly and can easily deviate from the original objectives. Short- and long-term monitoring will be required to ensure that the various levels of government retain the primacy of public health and consider the use of criminal justice as a last resort., El Gobierno liberal de Canadá, elegido por mayoría el 19 de octubre de 2015, incluyó en sus promesas electorales la legalización del cannabis. Cumplirá con su palabra. En junio de 2016 se publicó un Documento de discusión sentando las bases para el Groupe de travail sur la légalisation et la réglementation du cannabis (Grupo de trabajo sobre la legalización y la reglamentación del cannabis), que entregó su informe el 30 de noviembre de 2016. Este informe, según explicó Gobierno, será una de las herramientas utilizadas para elaborar el marco legislativo que servirá de base a las discusiones con las provincias y los territorios y con los expertos que deberán gestionar dicho marco reglamentario. En este artículo veremos los principales desafíos políticos, sociales y económicos que el Gobierno deberá enfrentar en estas discusiones con las provincias y los territorios, así como con los expertos, teniendo en cuenta las recomendaciones del informe con respecto a las preguntas planteadas en el Documento de discusión sobre los cinco aspectos de la reglamentación. Para identificar estos desafíos, además de las experiencias retenidas por los estudios sobre la situación en Colorado y en Washington, se agregarán las conclusiones de los estudios referidos a la gestión actual de las drogas legales. En primer lugar, se exponen en el artículo los retos relacionados con la llegada misma de esta ley, luego los relacionados con el objetivo de salud pública, el sistema de producción, de transformación y de distribución, el control del marco reglamentario y, finalmente, con la cuestión más específica del cannabis con fines terapéuticos. Veremos por qué razón la aplicación de esta ley será compleja y costosa y cómo podría fácilmente desviarse de los objetivos originales. Será necesario ejercer una vigilancia a corto y a mediano plazo para asegurar que los diferentes niveles de Gobierno conserven la primacía de la salud pública y consideren el uso del sistema penal como último recurso.

In this paper, we classify all (complete) non elementary algebraic solutions of Garnier systems that can be constructed by Kitaev's method: they are deduced from isomonodromic deformations defined by pulling back a given fuchsian equation E by a family of ramified covers. We first introduce orbifold structures associated to a fuchsian equation. This allow to get a refined version of Riemann-Hurwitz formula and then to promtly deduce that E is hypergeometric. Then, we can bound exponents and degree of the pull-back maps and further list all possible ramification cases. This generalizes a result due to C. Doran for the Painleve VI case. We explicitely construct one of these solutions., Comment: 22 pages

Let p be an odd prime number and K be a p-adic field. In this paper, we develop an analogue of Fontaine's theory of (phi,Gamma)-modules replacing the p-cyclotomic extension by the extension K_infty obtained by adding to K a compatible system of p^n-th roots of a fixed uniformizer pi of K. As a result, we obtain a new classification of p-adic representations of G_K = Gal(Kbar/K) by some (phi, \tau)-modules. We then make a link between the theory of (phi,tau)-modules discussed above and the so-called theory of (phi,N_nabla)$-modules developped by Kisin. As a corollary, we answer a question of Tong Liu: we prove that, if K is a finite extension of Q_p, every representation of G_K of E(u)-finite height is potentially semi-stable., Comment: 51 pages serious problem in Section 3 fixed; 2010-65

Let k be a field, and A a finite-dimensional k-algebra. Let d be an integer. Denote by Gr(d,A) the Grassmannian of d-subspaces of A (viewed as a k-vector space), and by GL_1(A) the algebraic k-group whose points are invertible elements of A. The group GL_1(A) acts naturally on Gr(d,A) (by the formula g.E=gE). The aim of this paper is to study some birational properties of this action. More precisely, let r be the gcd of d and dim(A). Under some hypothesis on A (satisfied if A/k is \'etale), I show that the variety Gr(d,A) is birationally and GL_1(A)-equivariantly isomorphic to the product of Gr(r,A) by a projective space (on which GL_1(A) acts trivially). By twisting, this result has some corollaries in the theory of central simple algebras. For instance, let B and C be two central simple algebras over k, of coprime degrees. Then the Severi-Brauer variety SB(B \otimes C) is birational to the product of SB(B) \times SB(C) by an affine space of the correct dimension. These corollaries are in the spirit of Krashen's generalized version of Amitsur's conjecture., Comment: 15 pages

A proof of the transcendence of a real number ! based on the Thue‐Siegel‐Roth‐Schmidt method involves generally a sequence (" n)n! 1 of algebraic numbers of bounded degree or a sequence (xn)n! 1 of integer r-tuples. In the present paper, we show how such a proof can produce a transcendence measure for ! , if one is able to quantify the growth of the heights of the algebraic numbers " n or of the points xn. Our method rests on the quantitative Schmidt subspace theorem. We further give several applications, including to certain normal numbers and to the extremal numbers introduced by Roy.

Based on the conditions of the "measure" of social responsibility and, on the other hand, on the inclusion of social responsibility in business strategies, this paper demonstrates that evaluation of CSR is linked to the logic of communication. Communication does not essentially mean discourse for valorisation, but also includes discourse about firm with the objective of establishing new social representation of the companies and of their responsibilities. These representations are central stakes for senior management. They may find in CSR the basis of a new informational rent to face stockholders, NGOs, consumers., Partant des conditions dans lesquelles s'élabore la " mesure " en matière responsabilité sociale, d'une part, et de l'insertion de la RSE dans la pensée stratégique, d'autre part, l'article montre que l'évaluation relève d'une logique de communication. Communication ne signifiant pas essentiellement discours de valorisation, mais aussi discours sur l'entreprise, visant à fonder des représentations de l'entreprise et de ses responsabilités. Ces représentations constituent un enjeu central pour les hauts dirigeants, qui sont susceptibles de trouver dans la RSE une source de rente informationnelle face aux actionnaires, aux ONG, aux clients.

Let S be a finite set of primes, p in S, and Q_S a maximal algebraic extension of Q unramified outside S and infinity. Assume that |S|>=2. We show that the natural maps Gal(Q_p^bar/Q_p) --> Gal(Q_S/Q) are injective. Much of the paper is devoted to the problem of constructing selfdual automorphic cuspidal representations of GL(2n,A_Q) with prescribed properties at all places, that we study via the twisted trace formula of J. Arthur. The techniques we develop shed also some lights on the orthogonal/symplectic alternative for selfdual representations of GL(2n)., 50 pages, french. Section 4.18 has been extended : let F be a totally real field and \pi a selfdual cuspidal automorphic representation of GL(2n,A_F) which is cohomological at all the archimedean places and discrete at a finite place at least, we show that for each place v the L-parameter of \pi_v preserves a non-degenerate symplectic pairing

International audience; The aim of this paper is to identify and characterise the « sustainability development” (SD) reporting (or social and environmental reporting) in mobilising an analysis framework inspired by accounting and financial reporting. This leads to place the SD reporting between accountability, which is a more or less constraining duty and which obeys to imposed rules and communication which is let to the free production of the firm. From concrete situations (law or voluntary processes) the article examines the actual scope of duties, especially in the French case and deals with the stakes and the limits of standardisation for which only the GRI guidelines offer at the time being a comprehensive model.; L'objectif de l'article est d'identifier et de caractériser le rapportage « développement durable » (DD) (ou rapportage social et environnemental) en mobilisant un cadre d'analyse inspiré du modèle de rapportage comptable et financier. Cela conduit à situer le rapportage DD entre la reddition, obligation plus ou moins contraignante, obéissant à des règles imposées et la communication laissée à la libre production de l'entreprise. A partir de situations existantes (législation ou démarches volontaires), l'article examine la portée réelle des obligations, notamment dans le cas français et s'interroge sur les enjeux et les limites d'une normalisation dont, pour l'instant, seules les lignes directrices de la GRI offrent un modèle complet.

Dans ce papier, on calcule explicitement la cohomologie de Dolbeault feuillet´ ee pour les deux exemples de feuilletages complexes suivants : i) un feuilletage complexe linaire de dimension 1 sur le tore Tⁿ ; ii) une fibration non localement triviale en courbes elliptiques. In this paper, we compute explicitly the leafwise Dolbeault cohomology for two examples : i) a complex one dimensional linear foliation on the torus Tⁿ ; ii) a non locally trivial fibration whose fibres are elliptic curves.

International audience; This paper analyses the conditions for integrating Corporate Social Responsibility issues and sustainable development in the steering system of companies, in particular through strategic dashboards such as « Sustainability Balanced Scorecards » (SBSC). It demonstrates that the design of information systems stems from the kind of strategy chosen by companies in the field of CRS. Therefore, it is necessary to go beyond the ambiguous external reporting system and to elaborate internal management information systems.; Cet article étudie les conditions d’intégration de la problématique de responsabilité sociale d’entreprise et du développement durable dans le système de pilotage de l’entreprise, en particulier à travers le concept de tableaux de bord stratégiques de type « Sustainability Balanced Scorecards » (SBSC). Il montre que les systèmes d’information et de gestion reflètent le type de stratégie adoptée par l’entreprise en matière de RSE et qu’il convient de dépasser le stade ambigu du reporting externe et pénétrer plus en profondeur dans les systèmes de gestion internes de l’entreprise.

Supervising the corporate practices by defining environmental and social responsibilities founds the sustainable development agenda. This one shows various versions, which are called "weak", when its principles are anthropocentric, and which are called "strong" when these principles are ecocentric. From slow-growth movement, one slides then to an anti-growth movement. This paper aims at examining it, looking to its mains ideas and to its operational grounds, considered as threats and opportunities for the firms., Le souci d'encadrement des pratiques managériales par la définition de contraintes environnementales et sociales est au fondement du développement durable. Lequel présente diverses versions, notamment qualifiées de faibles lorsque les principes retenus sont anthropocentrés, et de fortes lorsque les principes retenus sont écocentrés. Ce dernier cas est caractéristique de " l'objection de croissance ", mouvement socio-politique dont il s'agit ici d'examiner les idées et les relais opérationnels, comme menaces et comme opportunités pour l'activité des entreprises.

This paper answers a question of Clozel and Ullmo, showing that certain sequences of adelically-defined probability measures defined on an adelic quotient of a solvable group converge to the uniform measure on that quotient. This turns out to depend on any non-trivial estimate for classical Kloosterman sums. At the end, a “horizontal” analogue of the problem is stated and solved using a result of Duke, Friedlander and Iwaniec.

This paper deals with a new Hilbert- type inequality by introducing a parameter and the Beta function. As applications, the equivalent form, the reversions and some particular results are considered. All the theorems provide some new estimates on this type of inequalities.

Let $n$ be an integer $\geqslant 2$. A group $G$ is called generalized $n$-abelian if it admits a {\em positive polynomial} endomorphism of degree $n$, that is if there exist $n$ elements $a_1, a_2, \dots, a_n$ of $G$ such that the function $\varphi: x\mapsto x^{a_1}x^{a_2}\cdots x^{a_n}$ is an endomorphism of $G$. In this paper we give some sufficient conditions for a generalized $n$-abelian group to be abelian. In particular, we show that every group admitting a positive polynomial monomorphism of degree 3 is abelian.

In this paper we use the twistor theory in order to build non standard complex structures (with a meaning which we define) on products of 4-manifolds with the sphere of dimension two. To that end, we enumerate the set of complex surfaces whose twistor space is topologically trivial. Among these surfaces, we determine those which admit a spin structure or an anti-selfdual riemannian metric.