Department of Mathematics,
University of California San Diego
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Representation Theory Seminar
Luis Lomeli
University of Iowa
The Langlands-Shahidi Method for the Split Classical Groups over Function Fields and Functoriality
Abstract:
The Langlands-Shahidi method over a global function field will be presented for the split classical groups. We will highlight the difficulties that arise in positive characteristic with local-global arguments. Important applications to functoriality for generic representations of the split classical groups to an appropriate GL(N) are then obtained when the Langlands-Shahidi method is used together with a converse of Cogdell and Piatetski-Shapiro. Finally, we will mention how to go from the weak functorial lift to the strong lift. This has an important application to the Ramanujan conjecture, due to the fact that it is a theorem of Lafforgue for GL(N).
Host: Wee Teck Gan
October 28, 2008
2:30 PM
AP&M 7321
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