Lectures on modular Deligne-Lusztig theory

DOI10.4171/185-1/4zbMath1430.20010arXiv1705.08234OpenAlexW4239894882MaRDI QIDQ2295302

Olivier Dudas

Publication date: 12 February 2020

Full work available at URL: https://arxiv.org/abs/1705.08234

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Derived categories, triangulated categories (18G80)

Related Items (2)

Mod \(\ell\) cohomology of some Deligne-Lusztig varieties for \(\operatorname{GL}_n(q)\) ⋮ Equivariant Kazhdan-Lusztig polynomials of \(q\)-niform matroids

Cites Work

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• Derived categories and Deligne-Lusztig varieties. II.
• Decomposition numbers of Sp(4,q) for primes dividing \(q\pm 1\)
• Brauer trees for blocks of cyclic defect in the groups \(G_ 2(q)\) for primes dividing \(q^ 2\pm q+1\)
• Coxeter orbits and eigenspaces of Frobenius
• On the finiteness of the number of unipotent classes
• On Harish-Chandra induction and restriction for modules of Levi subgroups
• Derived equivalences for group rings
• Finite group actions and étale cohomology
• Derived categories and stable equivalence
• Étale chain complexes and Deligne-Lusztig curves
• The Brauer trees of the exceptional Chevalley groups of type \(E_ 6\)
• Triangulated Categories
• Characters of Reductive Groups over a Finite Field. (AM-107)

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