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On the $p$-adic interpolation of unitary Friedberg–Jacquet periods

Andrew Graham

Vol. 18 (2024), No. 6, 1117–1188
Abstract

We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use this to construct a p-adic analytic function interpolating unitary Friedberg–Jacquet periods.

Keywords
$p$-adic $L$-functions, higher Coleman theory, automorphic cohomology
Mathematical Subject Classification
Primary: 11F67, 11G18
Milestones
Received: 17 December 2021
Revised: 19 July 2022
Accepted: 3 September 2023
Published: 30 April 2024
Authors
Andrew Graham
MPIM-Bonn
Bonn
Germany

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