# Mathematical Sciences Research Institute

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# Seminar

Analytic Number Theory Seminar: Averages of central $L$-values using the relative trace formula April 11, 2017 (02:00 PM PDT - 03:00 PM PDT)
Parent Program: Analytic Number Theory MSRI: Simons Auditorium
Speaker(s) Maria Nastasescu (Brown University)
Description No Description
Video
In this talk I give a detailed introduction to the relative trace formula and then present some applications to computing averages of automorphic $L$-functions. More precisely, I consider a suitable relative trace formula such that the spectral side is an average of central L-values of genus 2 holomorphic Siegel eigenforms of weight k and level N twisted by some fixed character. I then work on computing the corresponding geometric side.