LOCAL LANGLANDS CORRESPONDENCE FOR ASAI L AND EPSILON FACTORS.pdf (845.31 kB)
Download fileLocal Langlands Correspondence for Asai L and Epsilon Factors
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