Lecture----数学院晨兴数学中心

Title:	$p$-adic $L$-functions for Siegel modular forms
Speaker:	Dr. Zheng Liu (McGill University)
Time:	2017-3-2, 10:30-12:30
Place:	610
Abstract:	We construct the $p$-adic standard $L$-functions for ordinary families of Hecke eigen-systems of the symplectic group $Sp(2n)/ \mathbb{Q}$ using the doubling method. We explain the strategy for choosing the local sections of the Siegel Eisenstein series on the doubling group $Sp(4n)/ \mathbb{Q}$, which allows $p$-adic interpolation and guarantees nonvanishing of the archimedean zeta integrals, and the corresponding local zeta integrals at $p$ give the modified Euler factors at $p$ as predicted by Coates for $p$-adic $L$-functions.
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