On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups

TL;DR

This paper explores the extension of the Langlands-Shahidi method to Eisenstein series on arithmetic quotients of loop groups, linking infinite-dimensional groups to classical cusp forms.

Contribution

It introduces a framework for Eisenstein series on loop groups related to cusp forms, extending the Langlands-Shahidi method to infinite-dimensional settings.

Findings

Established connections between loop group Eisenstein series and cusp forms

Extended the Langlands-Shahidi method to arithmetic quotients of loop groups

Provided foundational work for future research in automorphic forms on infinite-dimensional groups

Abstract

We discuss certain Eisenstein series on arithmetic quotients of loop groups, G^, which are associated to cusp forms on finite-dimensional groups associated with maximal parabolics of G^.