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arXiv · 2603.26058

Derived Weil Representation and Relative Langlands Duality

Haoshuo Fu
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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 $ (\mathrm{GL}_n,\mathrm{GL}_m) $, I give a coherent description of this category, in the philosophy of relative Langlands duality.

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Haoshuo Fu. 2026-03-27. Derived Weil Representation and Relative Langlands Duality. https://arxiv.org/abs/2603.26058

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