Localization of \(\mathfrak g\)-modules on the affine Grassmannian
From MaRDI portal
Publication:972564
DOI10.4007/annals.2009.170.1339zbMath1202.17009arXivmath/0512562OpenAlexW2052308959WikidataQ59410045 ScholiaQ59410045MaRDI QIDQ972564
Dennis Gaitsgory, Edward V. Frenkel'
Publication date: 20 May 2010
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512562
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Loop groups and related constructions, group-theoretic treatment (22E67) Geometric class field theory (11G45)
Related Items (18)
A conjectural extension of the Kazhdan-Lusztig equivalence ⋮ Local opers with two singularities: the case of \(\mathfrak{sl}(2)\) ⋮ Quiver Schur algebras and Koszul duality. ⋮ Localization for affine \(\mathcal{W} \)-algebras ⋮ The formal model of semi-infinite flag manifolds ⋮ Feigin-Frenkel center in types \(B\), \(C\) and \(D\) ⋮ An informal introduction to categorical representation theory and the local geometric Langlands program ⋮ Semi-Infinite Highest Weight Categories ⋮ The semi-infinite intersection cohomology sheaf ⋮ Algebraic groups. Abstracts from the workshop held April 18--24, 2021 (hybrid meeting) ⋮ Numerical Algorithms on the Affine Grassmannian ⋮ D-modules on the affine flag variety and representations of affine Kac-Moody algebras ⋮ The Weyl-Kac weight formula ⋮ Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras ⋮ De-equivariantization of Hopf algebras. ⋮ The Grassmannian of affine subspaces ⋮ Preservation of depth in the local geometric Langlands correspondence ⋮ Affine Beilinson-Bernstein localization at the critical level for \(\mathrm{GL}_2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Modules over the small quantum group and semi-infinite flag manifold
- Kazhdan-Lusztig conjecture and holonomic systems
- Structure of some categories of representations of infinite-dimensional Lie algebras
- \(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras
- Kazhdan-Lusztig conjecture for affine Lie algebras with negative level
- Another realization of the category of modules over the small quantum group
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Wakimoto modules, opers and the center at the critical level
- Tensor Structures Arising from Affine Lie Algebras. I
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Tensor Structures Arising from Affine Lie Algebras. III
- A "strange" functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles
- Quantum groups, the loop Grassmannian, and the Springer resolution
- Local geometric Langlands correspondence and affine Kac-Moody algebras
- Langlands parameters for Heisenberg modules
This page was built for publication: Localization of \(\mathfrak g\)-modules on the affine Grassmannian