A spectral incarnation of affine character sheaves

DOI10.1112/S0010437X17007278zbMath1439.20004arXiv1312.7163MaRDI QIDQ5360286

Anatoly Preygel, David Ben-Zvi, David Nadler

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7163

zbMATH Keywords

character sheavesaffine Hecke algebrageometric Langlands program

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items

On the stack of semistable \(G\)-bundles over an elliptic curve ⋮ Integral transforms for coherent sheaves ⋮ The trace of the affine Hecke category ⋮ Coherent Springer theory and the categorical Deligne-Langlands correspondence ⋮ Uniformization of semistable bundles on elliptic curves ⋮ Betti spectral gluing ⋮ Homological projective duality via variation of geometric invariant theory quotients ⋮ The Jordan–Chevalley decomposition for 𝐺-bundles on elliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On two geometric realizations of an affine Hecke algebra
• On some finiteness questions for algebraic stacks
• Loop spaces and representations
• Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules.
• Hall algebras of curves, commuting varieties and Langlands duality
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Integral transforms for coherent sheaves
• Unipotent almost characters of simple \(p\)-adic groups: II
• Singular support of coherent sheaves and the geometric Langlands conjecture
• Loop spaces and connections
• A categorical approach to the stable center conjecture
• Elliptic Springer theory
• The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials
• Integral transforms and Drinfeld centers in derived algebraic geometry
• Local cohomology and support for triangulated categories
• Higher Topos Theory (AM-170)