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

Local Langlands Correspondence for Asai L and Epsilon Factors

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posted on 2020-05-05, 18:09 authored by Daniel J ShankmanDaniel 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

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