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Algebraic Geometry and Representation Theory Seminar

WednesdaySep 30, 202016:30
Algebraic Geometry and Representation Theory Seminar
Speaker:Bin XuTitle:A-packets for quasisplit GSp(2n) and GSO(2n) over a p-adic fieldAbstract:opens in new windowin html    pdfopens in new windowZOOM: HTTPS://WEIZMANN.ZOOM.US/J/98304397425

Arthur (1989) conjectured that the discrete spectrum of automorphic representations of a connected reductive group over a number field can be decomposed into global A-packets, in terms of which he also conjectured a multiplicity formula. Arthur (2013) proved his conjectures for symplectic and orthogonal groups, in which case the global A-packets are parametrized by self-dual automorphic representations of general linear groups. In this talk, I will give a construction of the local A-packets for general symplectic and general even orthogonal groups in the nonarchimedean case. This is based on our earlier works in the tempered case, and it follows a construction by Moeglin for symplectic and orthogonal groups.