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

TL;DR

This paper develops a p-adic interpolation method for unitary Friedberg--Jacquet periods using higher Coleman theory on Shimura varieties, advancing p-adic automorphic form theory.

Contribution

It introduces a novel p-adic interpolation of periods associated with unitary groups, leveraging functoriality of higher Coleman theory on Shimura varieties.

Findings

Constructed a p-adic analytic function interpolating periods.

Established functoriality of higher Coleman theory for certain Shimura varieties.

Enhanced understanding of p-adic automorphic periods.

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.