Geometric Satake Isomorphism and the Categorical Local Langlands Correspondence for Affine Groups
Abstract
We establish a derived equivalence between the category of Iwahori-integrable representations of an affine Kac-Moody group and the derived category of coherent sheaves on the stack of arithmetic Langlands parameters with prescribed singular support, extending the geometric Satake equivalence to the categorical level.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026