LOCAL LANGLANDS CORRESPONDENCE FOR ASAI L AND EPSILON FACTORS.pdf (845.31 kB)
0/0

Local Langlands Correspondence for Asai L and Epsilon Factors

Download (845.31 kB)
thesis
posted on 05.05.2020 by Daniel J Shankman
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.

Funding

NSF grant DMS-1500759

History

Degree Type

Doctor of Philosophy

Department

Mathematics

Campus location

West Lafayette

Advisor/Supervisor/Committee Chair

Freydoon Shahidi

Additional Committee Member 2

David Goldberg

Additional Committee Member 3

Tong Liu

Additional Committee Member 4

Baiying Liu

Licence

Exports