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arXiv · 2007.09799

Kazhdan-Lusztig conjecture via Zastava spaces

Alexander Braverman·Michael Finkelberg·Hiraku Nakajima
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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.

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BibTeXRIS

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima. 2020-07-19. Kazhdan-Lusztig conjecture via Zastava spaces. https://doi.org/10.1515/crelle-2022-0013

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