Derived Weil Representation and Relative Langlands Duality
Representation Theory
2026-03-30 v1
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 , I give a coherent description of this category, in the philosophy of relative Langlands duality.
Cite
@article{arxiv.2603.26058,
title = {Derived Weil Representation and Relative Langlands Duality},
author = {Haoshuo Fu},
journal= {arXiv preprint arXiv:2603.26058},
year = {2026}
}