L-functions from Langlands-Shahidi method for GSpin groups and the generic Arthur packet conjecture
Abstract
We give a classification of strongly positive discrete series representations of split GSpin groups over a p-adic field F of char 0 and characterize the general discrete series representations of split GSpin groups. Using the classification result, we show that the L-functions from Langlands-Shahidi method for split GSpin groups over p-adic field F are equal to Artin L-functions. One of the applications of the equality of L-functions is a proof of generic Arthur L-packet conjecture in this case.
Degree
Ph.D.
Advisors
Shahidi, Purdue University.
Subject Area
Mathematics
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