Character sheaves on unipotent groups in positive characteristic: foundations.

DOI10.1007/s00029-013-0133-7zbMath1334.20040arXiv0810.0794OpenAlexW2094342695MaRDI QIDQ2436523

Vladimir Drinfeld, Mitya Boyarchenko

Publication date: 25 February 2014

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0794

zbMATH Keywords

monoidal categoriesunipotent groupscharacter sheavesbraided categories\(L\)-packetsFourier-Deligne transformequivariant derived categorieslittle group method

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50)

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Cites Work

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• *-autonomous categories. With an appendix by Po-Hsiang Chu
• Characters of unipotent groups over finite fields.
• Transformation de Fourier-Deligne sur les groupes unipotents. (Fourier-Deligne transformation on unipotent groups.)
• Nonsymmetric \(^{\ast}\)-autonomous categories
• Proalgebraic groups
• Stacky abelianization of algebraic groups
• Metric groups attached to skew-symmetric biextensions
• On braided fusion categories. I
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• The six operations for sheaves on Artin stacks. II: Adic coefficients
• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• Continuous étale cohomology
• La conjecture de Weil. II
• Idempotent triples and completion
• Equivariant sheaves and functors
• Higher genus surface operad detects infinite loop spaces
• Braided compact closed categories with applications to low dimensional topology
• Categories and cohomology theories
• *-autonomous categories, revisited
• Heisenberg idempotents on unipotent groups.
• On fusion categories.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• A duality formalism in the spirit of Grothendieck and Verdier
• Character sheaves and characters of unipotent groups over finite fields
• Integral transforms and Drinfeld centers in derived algebraic geometry
• On the Classification of Topological Field Theories
• Dualité sur un corps local à corps résiduel algébriquement clos
• Framed Discs Operads and Batalin-Vilkovisky Algebras
• S-Structures for k -Linear Categories and the Definition of a Modular Functor
• Categories and Sheaves
• Perfect Closures of Rings and Schemes