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Title:
Non-vanishing of twists of GL(4) L-functions

Speaker:
Liyang Yang

Abstract:
I will discuss recent work with Maksym Radziwill in which we show that for any fixed tempered cuspidal representation π of GL(4) over the rationals, there exist infinitely many primitive characters χ such that the twisted L-function L(s,π×χ) is non-vanishing at the central point s=1/2. I will focus on the proof, which involves a mix of ideas.

Link:
https://www.ias.edu/video/non-vanishing-twists-gl4-l-functions