Derived Satake category and Affine Hecke category in mixed characteristics
Number Theory
2024-02-28 v2 Algebraic Geometry
Representation Theory
Abstract
We construct a new affine Grassmannian which connects an equal characteristic affine Grassmannian and Zhu's Witt vector affine Grassmannian. As a result, we deduce the mixed characteristic version of the Bezrukavnikov-Finkelberg's derived Satake equivalence. By the same argument, we also obtain the mixed characteristic version of the Bezrukavnikov's equivalence between two categorifications of an affine Hecke algebra.
Keywords
Cite
@article{arxiv.2310.16244,
title = {Derived Satake category and Affine Hecke category in mixed characteristics},
author = {Katsuyuki Bando},
journal= {arXiv preprint arXiv:2310.16244},
year = {2024}
}
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42 pages