Kazhdan-Lusztig conjecture via Zastava spaces

Kavli Affiliate: Hiraku Nakajima

| First 5 Authors: Alexander Braverman, Michael Finkelberg, Hiraku Nakajima, ,

| Summary:

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.

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