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Local Langlands Correpondence for the twisted exterior and symmetric square epsilon-factors of GL(N)

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posted on 02.05.2020 by Dongming She
In this paper, we prove the equality of the local arithmetic and analytic epsilon- and L-factors attached to the twisted exterior and symmetric square representations of GL(N). We will construct the twisted symmetric square local analytic gamma- and L-factor of GL(N) by applying Langlands-Shahidi method to odd GSpin groups. Then we reduce the problem to the stablity of local coefficients, and eventually prove the analytic stabitliy in this case by some analysis on the asymptotic behavior of certain partial Bessel functions.

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

Baiying Liu

Additional Committee Member 3

Tong LIu

Additional Committee Member 4

David Goldberg

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