Geometric Weil representation: local field case
Representation Theory
2023-08-25 v2 Algebraic Geometry
Abstract
Let k be an algebraically closed field of characteristic >2, F=k((t)) and Mp(F) denote the metaplectic extension of Sp_{2d}(F). In this paper we propose a geometric analog of the Weil representation of Mp(F). This is a category of certain perverse sheaves on some stack, on which Mp(F) acts by functors. This construction will be used in math.RT/0701170 (and subsequent publications) for a proof of the geometric Langlands functoriality for some dual reductive pairs.
Cite
@article{arxiv.0705.4213,
title = {Geometric Weil representation: local field case},
author = {Vincent Lafforgue and Sergey Lysenko},
journal= {arXiv preprint arXiv:0705.4213},
year = {2023}
}