Perverse sheaves on a Loop group and Langlands' duality
classification
alg-geom
hep-thmath.AGmath.QAq-alg
keywords
grouplanglandssheavescategoryconstructionloopperversetensor
read the original abstract
An intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of a tensor category of perverse sheaves on the loop group, LG, is given. The construction is applied to the study of the topology of the affine Grassmannian of G and to establishing a Langlands type correspondence for "automorphic" sheaves on the moduli space of G-bundles.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras
Introductory article presenting a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on those branches.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.