In this talk, we will explain 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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