Local Langlands Correspondence For Asai L and Epsilon Factors

Daniel Shankman, Purdue University

Abstract

Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a bijection between n-dimensional Frobenius semisimple representations of the Weil-Deligne group of E and smooth, irreducible representations of GL(n, E). We reinterpret this bijection in the setting of the Weil restriction of scalars Res(GL(n), E/F), and show that the Asai L-function and epsilon factor on the analytic side match up with the expected Artin L-function and epsilon factor on the Galois side.

Degree

Ph.D.

Advisors

Shahidi, Purdue University.

Subject Area

Mathematics

COinS