An informal introduction to categorical representation theory and the local geometric Langlands program
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Publication:6190077
DOI10.1007/s41745-022-00310-3arXiv2205.14578OpenAlexW4292832139MaRDI QIDQ6190077
Publication date: 5 March 2024
Published in: Journal of the Indian Institute of Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.14578
Cites Work
- Local geometric Langlands correspondence and affine Kac-Moody algebras
- GAUGE THEORY AND WILD RAMIFICATION
- the stable derived category of a noetherian scheme
- Geometrization of principal series representations of reductive groups
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- Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture
- On two geometric realizations of an affine Hecke algebra
- Vertex algebras at the corner
- On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
- Perverse sheaves on affine flags and Langlands dual group
- \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
- The homotopy theory of dg-categories and derived Morita theory
- Singular localization of \(\mathfrak{g}\)-modules and applications to representation theory
- Geometric endoscopy and mirror symmetry
- Localization of \(\mathfrak g\)-modules on the affine Grassmannian
- Electric-magnetic duality and the geometric Langlands program
- Character sheaves. I
- Character sheaves. II
- Character sheaves. III
- Character sheaves. IV
- Character sheaves. V
- Proof of the Deligne-Langlands conjecture for Hecke algebras
- Moduln mit einem höchsten Gewicht
- Kazhdan-Lusztig conjecture and holonomic systems
- Representations of Coxeter groups and Hecke algebras
- Unrefined minimal \(K\)-types for \(p\)-adic groups
- Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case.
- Support varieties and cohomology over complete intersections
- Loop group actions on categories and Whittaker invariants
- \(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras
- Kazhdan-Lusztig conjecture for affine Lie algebras with negative level
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case
- Whittaker patterns in the geometry of moduli spaces of bundles on curves
- \(S\)-duality of boundary conditions in \({\mathcal N}=4\) super Yang-Mills theory
- S-duality for the large \(N = 4\) superconformal algebra
- \(\mathcal{W}\)-algebras and Whittaker categories
- Affine Beilinson-Bernstein localization at the critical level for \(\mathrm{GL}_2\)
- Coulomb branches of 3-dimensional gauge theories and related structures
- Vertex algebras for S-duality
- The local and global versions of the Whittaker category
- Any flat bundle on a punctured disc has an oper structure
- Quantum Langlands dualities of boundary conditions, \(D\)-modules, and conformal blocks
- Vertex operator algebras and 3d \( \mathcal{N} = 4 \) gauge theories
- An Iwahori-Whittaker model for the Satake category
- Algebraic representations and constructible sheaves
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Singular support of coherent sheaves and the geometric Langlands conjecture
- Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras
- Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II.
- Preservation of depth in the local geometric Langlands correspondence
- On the restricted Verma modules at the critical level
- The local Langlands correspondence for $GL_n$ in families
- Lectures on DG-Categories
- Regular Strata and Moduli Spaces of Irregular Singular Connections
- Integral transforms and Drinfeld centers in derived algebraic geometry
- Sheaves of categories and the notion of 1-affineness
- Singular Localization and Intertwining Functors for Reductive Lie Algebras in Prime Characteristic
- Ramifications of the Geometric Langlands Program
- D-modules on the affine flag variety and representations of affine Kac-Moody algebras
- Equivariant Satake category and Kostant-Whittaker reduction
- Local Geometric Langlands Correspondence: the Spherical Case
- Representation Theory and Complex Geometry
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
- Wall-Crossing functors and D-modules
- Deriving DG categories
- Types and Hecke algebras for principal series representations of split reductive p-adic groups
- Tilting modules and the p-canonical basis
- Periods and harmonic analysis on spherical varieties
- A Theory of Minimal $K$-Types for Flat $G$-Bundles
- Quantum groups, the loop Grassmannian, and the Springer resolution
- Semiinfinite Flags. I. Case of global curve $P^1$
- Mirabolic Satake equivalence and supergroups
- LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS
- Betti Geometric Langlands
- S-duality of boundary conditions and the Geometric Langlands program
- Moduli Spaces of Irregular Singular Connections
- Lie Group Representations on Polynomial Rings
- Ind-coherent sheaves
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