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Anticyclotomic p-adic spinor L-functions for PGSp(4)

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Shunsuke Yamana
Kyoto University/MPIM
Wed, 2018-02-21 11:15 - 12:15
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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