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arXiv · 2310.16244

Derived Satake category and Affine Hecke category in mixed characteristics

Katsuyuki Bando
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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.

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Katsuyuki Bando. 2023-10-24. Derived Satake category and Affine Hecke category in mixed characteristics. https://arxiv.org/abs/2310.16244

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