Number Theory Seminar
Wednesday, December 7, 2016, 1:30pm, 119 Physics
Daniel Johnstone (Chicago)
A Gelfand-Graev Formula and Stable Transfer Factors for SL_n
Abstract:
A result of Gelfand and Graev shows that the supercuspidal representations of SL_2 are neatly parameterized by characters of elliptic tori, and that the stable character data for all such representations may be collected into a single function by means of a Fourier Transform. Using recent advances in the computation of characters of supercuspidal representations, we prove analogous results for the group SL_n. [video]

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