Kazhdan-Lusztig conjecture via Zastava spaces
Representation Theory
2022-06-17 v2 Algebraic Geometry
Abstract
We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and W-algebras.
Keywords
Cite
@article{arxiv.2007.09799,
title = {Kazhdan-Lusztig conjecture via Zastava spaces},
author = {Alexander Braverman and Michael Finkelberg and Hiraku Nakajima},
journal= {arXiv preprint arXiv:2007.09799},
year = {2022}
}
Comments
v2: minor corrections, the final published version