p-adic L-functions for GSp(4)\times GL(2)

Abstract: For a cuspidal automorphic representation $\Pi$ of GSp(4) and a cuspidal automorphic representation $\pi$ of GL(2), Furusawa's formula can be used to study the special values of the degree-eight $p$-adic $L$-function $L(s,\Pi\times\pi)$. In this talk, I will explain a construction of the $p$-adic $L$-function for $\Pi\times\pi$ by using Furusawa's formula and a family of Eisenstein series. The construction includes choosing local test sections at p and computing the corresponding local zeta integrals.

Mathematics

Audience: researchers in the topic

Comments: Join Zoom Meeting ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09

Meeting ID: 678 4319 0638 Passcode: 999070

UBC (online) Number Theory Seminar