I will discuss recent work with Maksym Radziwill in which we show that for any fixed tempered cuspidal representation π of GL4 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.
This video is part of the Institute for Advanced Study‘s Number theory seminar.
