Kazhdan-Lusztig conjecture via Zastava spaces

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.

v2: minor corrections, the final published version

References in corpus (1)

• The notion of category over an algebraic stack