Ramin Takloo-Bighash : Automorphic form twisted Shintani zeta function

Posted by Ramin Takloo-Bighash , part of the Number Theory Seminar.

At

Nov. 15, 2024, 9 a.m.

In

636 SEO

Abstract

In this talk I will discuss a recent work in which Eun Hye Lee and I prove the analytic continuation of the Shintani zeta function of the prehomogeneous vector space of binary cubic forms twisted by automorphic forms over an arbitrary number field, generalizing works by Hough and Hough-Lee. Time allowing, I will also discuss some possible arithmetic applications.