Loop group actions on categories and Whittaker invariants

DOI10.1016/j.aim.2017.10.024zbMath1400.22016arXiv1310.5127OpenAlexW1482148300MaRDI QIDQ1678151

Dario Beraldo

Publication date: 14 November 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5127

zbMATH Keywords

loop groupsgeometric Langlandsgroup actions on categoriesFourier-Deligne transformindschemes of pro-finite typeWhittaker invariants

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Geometric Langlands program: representation-theoretic aspects (22E57) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items

Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras, Tate’s thesis in the de Rham setting, Localization for affine \(\mathcal{W} \)-algebras, Quantum parameters of the geometric Langlands theory, Untwisted Gaiotto equivalence, An informal introduction to categorical representation theory and the local geometric Langlands program, On the extended Whittaker category, Twisted Whittaker models for metaplectic groups, The center of the categorified ring of differential operators, \(\mathcal{W}\)-algebras and Whittaker categories, Chiral principal series categories. I: Finite dimensional calculations, Tempered D-modules and Borel-Moore homology vanishing, Sheaves of categories with local actions of Hochschild cochains, Affine Beilinson-Bernstein localization at the critical level for \(\mathrm{GL}_2\), A generalization of the b-function lemma, Fundamental local equivalences in quantum geometric Langlands

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