Thursday 19 Jan 2017: Zeros of Automorphic L-Functions
Thomas Oliver - University of Bristol
L-functions are generating functions of arithmetic information, their analytic properties reflecting underlying arithmetic structure. The zeros of L-functions are a subject of much contemporary research, with two millenium prize problems being clear evidence of their importance. In this talk I will be interested in the order and linear independence of zeros, proving results via the "converse theorems" of the Langlands programme used to construct automorphic representations from well-behaved L-functions.