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Joint IAS/Princeton University Number Theory Seminar

Epsilon dichotomy for linear models.

Saito--Tunnell theorem is a local version of Waldspurger's formula, relating the existence of E^\times invariant linear forms on representation of GL_2 to local root numbers. I present a generalization of this which relates the existence of GL_n(E) invariant linear forms on GL_2n(F) to local root numbers. The proof relies on a "relative version" of Harish-Chandra' theory of local character expansions.

Featuring

Hang Xue

Speaker Affiliation

University of Arizona

Affiliation

Mathematics

Event Series

Date & Time
November 08, 2018 | 4:305:30pm

Location

Princeton University, Fine Hall 214

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