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Speaker:

Shunsuke Yamana
Affiliation:

Kyoto University/MPIM
Date:

Wed, 2018-02-21 11:15 - 12:15
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar The Boecherer conjecture is a generalization of the Waldspurger formula and relates squares of Bessel periods

of genus two Siegel cusp forms to the central L-values.

This conjecture was currently proved by Furusawa and Morimoto for the special Bessel period, and the general

case is a work-in-progress. In this talk I will construct a square root of an anticyclotomic p-adic L-function with

explicit interpolation formulas for Siegel cusp forms of genus 2 and scalar weight greater than 1 with respect to

paramodular groups of square-free level, assuming the Boecherer conjecture for the L-values with anticyclotomic twist.

This is a joint work with Ming-Lun Hsieh.

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