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# Daniel Johnstone : A Gelfand-Graev Formula and Stable Transfer Factors for SL_n

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.

**Category**: Number Theory**Duration**: 01:34:46**Date**: December 7, 2016 at 1:25 PM**Views**: 116-
**Tags:**seminar, Number Theory Seminar

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