Derived Weil Representation and Relative Langlands Duality
Abstract
The Weil representation is a particularly significant linear representation of the metaplectic group, used in the study of theta correspondence. In this paper, I introduce a derived category version of the Weil representation in the local field case. For the dual pair (GLn,GLm) , I give a coherent description of this category, in the philosophy of relative Langlands duality.
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