Geometric Weil representation: local field case

摘要

AbstractLet k be an algebraically closed field of characteristic greater than 2, and let F=k((t)) and G=????p2d. In this paper we propose a geometric analog of the Weil representation of the metaplectic group . This is a category of certain perverse sheaves on some stack, on which acts by functors. This construction will be used by Lysenko (in [Geometric theta-lifting for the dual pair?S????2m, ????p2n, math.RT/0701170] and subsequent publications) for the proof of the geometric Langlands functoriality for some dual reductive pairs.