An Iwahori-Whittaker model for the Satake category
From MaRDI portal
Publication:2326244
DOI10.5802/jep.104zbMath1481.14024arXiv1806.06527OpenAlexW2977839489MaRDI QIDQ2326244
Laura Rider, Roman Bezrukavnikov, Simon Riche, Ivan Mirković, Dennis Gaitsgory
Publication date: 7 October 2019
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06527
Representation theory for linear algebraic groups (20G05) Geometric Langlands program (algebro-geometric aspects) (14D24)
Related Items
A geometric Steinberg formula ⋮ Hecke category actions via Smith–Treumann theory ⋮ Working session: Geometric representation theory. Abstracts from the working session held April 3--9, 2022 ⋮ An informal introduction to categorical representation theory and the local geometric Langlands program ⋮ Notes on the Geometric Satake Equivalence ⋮ A simple character formula ⋮ Smith-Treumann theory and the linkage principle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture
- On two geometric realizations of an affine Hecke algebra
- Perverse sheaves on real loop Grassmannians
- A new Fourier transform
- Perverse sheaves on affine flags and Langlands dual group
- Modules over the small quantum group and semi-infinite flag manifold
- Cohomology of the minimal nilpotent orbit
- Equivariant sheaves and functors
- Algebraic loop groups and moduli spaces of bundles
- Erratum for ``Geometric Langlands duality and representations of algebraic groups over commutative rings
- Relative aspects in representation theory, Langlands functoriality and automorphic forms. CIRM Jean-Morlet Chair, spring 2016
- The Steinberg linkage class for a reductive algebraic group
- Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirković-Vilonen conjecture
- Reductive groups, the loop Grassmannian, and the Springer resolution
- Whittaker patterns in the geometry of moduli spaces of bundles on curves
- Some results about geometric Whittaker model.
- \(\mathcal{W}\)-algebras and Whittaker categories
- The local and global versions of the Whittaker category
- Singular support of coherent sheaves and the geometric Langlands conjecture
- Parity sheaves and tilting modules
- Modular perverse sheaves on flag varieties I: tilting and parity sheaves
- On Koszul duality for Kac-Moody groups
- Modular Koszul duality
- Parity sheaves
- Filtrations of $G$-modules
- Geometric realization of Whittaker functions and the Langlands conjecture
- On the Exotic t-Structure in Positive Characteristic
- Tilting modules and the p-canonical basis
- The parabolic exotic t-structure
- Koszul Duality Patterns in Representation Theory
- Semiinfinite Flags. I. Case of global curve $P^1$
- Koszul duality for Kac–Moody groups and characters of tilting modules
- A Topological Approach to Soergel Theory
- Local geometric Langlands correspondence and affine Kac-Moody algebras
- Construction of central elements in the affine Hecke algebra via nearby cycles
