SOME RESULTS ON AFFINE DELIGNE–LUSZTIG VARIETIES

DOI10.1142/9789813272880_0100zbMath1441.14147arXiv1807.02158OpenAlexW2972705465MaRDI QIDQ5122075

Xuhua He

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02158

zbMATH Keywords

affine Weyl groupsloop groupsaffine Deligne-Lusztig varieties

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Group actions on varieties or schemes (quotients) (14L30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Formal groups, (p)-divisible groups (14L05) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

Arithmetic of Shimura varieties. Abstracts from the workshop held January 29 -- February 4, 2023 ⋮ Semi-modules and crystal bases via affine Deligne-Lusztig varieties ⋮ On some simple geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_n\) ⋮ Algebraic number theory. Abstracts from the workshop held June 25--30, 2023 ⋮ Geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_3\)

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