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Title: Converse theorems and the grand simplicity hypothesis
Speaker: Thomas Oliver (Oxford University)
Faculty Sponsor: Kyu-Hwan Lee
Time: Wednesday, October 24, 2018 at 11:15 am
Place: MONT 313Abstract: In this talk, we will be interested in two manifestations of the so-called grand simplicity hypothesis for the zeros of automorphic L-functions. Specifically, we will see how the simplicity and independence of zeros can be related to the characterisation of automorphic L-functions in terms of analytic data. We will state two converse theorems in low degree and outline their proof in terms of the asymptotics of hypergeometric functions.
Organizer: Aurel Mihai Fulger