Functoriality of higher Coleman theory and p-adic L-functions in the unitary setting

Abstract: I will describe the construction of a p-adic analytic function interpolating unitary Friedberg--Jacquet periods, which are conjecturally related to central critical values of L-functions for cuspidal automorphic representations of unitary groups. The construction involves establishing functoriality of Boxer and Pilloni's higher Coleman theory, and p-adically interpolating branching laws for a certain pair of unitary groups. The motivation for such a p-adic analytic function arises from the Bloch--Kato conjecture for twists of the associated Galois representation by anticyclotomic characters.

algebraic geometrynumber theory

Audience: researchers in the topic

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MIT number theory seminar

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