SOME RESULTS ON AFFINE DELIGNE–LUSZTIG VARIETIES

Authors :: Xuhua He
Source :: Proceedings of the International Congress of Mathematicians (ICM 2018).
Publication Year :: 2019
Publisher :: WORLD SCIENTIFIC, 2019.
Abstract: The study of affine Deligne-Lusztig varieties originally arose from arithmetic geometry, but many problems on affine Deligne-Lusztig varieties are purely Lie-theoretic in nature. This survey deals with recent progress on several important problems on affine Deligne-Lusztig varieties. The emphasis is on the Lie-theoretic aspect, while some connections and applications to arithmetic geometry will also be mentioned.

Subjects :: Algebra
Mathematics::Algebraic Geometry
Mathematics::K-Theory and Homology
Mathematics::Quantum Algebra
Affine transformation
Mathematics::Representation Theory
Mathematics

Database :: OpenAIRE
Journal :: Proceedings of the International Congress of Mathematicians (ICM 2018)
Accession number :: edsair.doi...........fbe4ac6abaecdb69a63a78ad1f02e554
Full Text :: https://doi.org/10.1142/9789813272880_0100