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We calculate various categories of equivariant sheaves on theBeilinson-Drinfeld Grassmannian in Langlands dual terms. For one, we obtain thefactorizable derived geometric Satake theorem. More generally, we calculate thecategorical analogue of unramified vectors in the Jacquet module of sheaves onthe Grassmannian.  In all cases, our spectral categories involve factorization modules forfactorization algebras related to the Langlands dual group.

Langlands duality on the Beilinson-Drinfeld Grassmannian