Standard module conjecture for GSpin groups
Abstract
We study representations of GSpin groups defined over a nonarchimedean local field of characteristic 0. The main goal is to prove the standard module conjecture for GSpin groups which was proposed by Casselman and Shahidi. Using the Langlands-Shahidi method, we prove an analogue of Muić's square integrability criterion which is a key tool in the proof of the standard module conjecture for GSpin groups. A consequence of the standard module conjecture is that normalized intertwining operators associated to a globally generic cuspidal representation are holomorphic. This is a necessary ingredient in proving a generic transfer from GSpin to GL.
Degree
Ph.D.
Advisors
Shahidi, Purdue University.
Subject Area
Mathematics
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