The motivic Satake equivalence

Published 18 Sep 2019 in math.AG | (1909.08322v3)

Abstract: We refine the geometric Satake equivalence due to Ginzburg, Beilinson-Drinfeld, and Mirkovi\'c-Vilonen to an equivalence between mixed Tate motives on the double quotient $L⁺ G \backslash LG / L⁺ G$ and representations of Deligne's modification of the Langlands dual group $\hat G$.

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