P-adic interpolation of metaplectic forms of cohomological type

TL;DR

This paper develops a method to p-adically interpolate metaplectic automorphic forms on reductive groups over number fields, extending Emerton's techniques to covers that split at infinite places.

Contribution

It introduces a novel approach to p-adic interpolation of metaplectic forms using Emerton's methods, applicable to covers splitting at infinite places.

Findings

Successful application of Emerton's methods to metaplectic forms

Extension of p-adic interpolation techniques to metaplectic covers

Framework for studying automorphic forms on metaplectic groups

Abstract

Let G be a reductive algebraic group over a number field k. It is shown how Emerton's methods may be applied to the problem of p-adically interpolating the metaplectic forms on G, i.e. the automorphic forms on metaplectic covers of G, as long as the metaplectic covers involved split at the infinite places of k.