Some structural results for the stability of root numbers
Abstract
In this thesis we, prove the equality of two different centralizers which appear in the calculation of local coefficients, the main tool in defining local root numbers from Langlands-Shahidi method. More precisely, we prove the main Assumption 4.1 in establishing Theorem 6.1 of [10] in the case of split groups, a result which is necessary in establishing stability of root numbers upon twists by highly ramified characters, the main impediment in establishing functoriality from this method.
Degree
Ph.D.
Advisors
Shahidi, Purdue University.
Subject Area
Mathematics
Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server.