# Stable Automorphic Forms for Semisimple Groups

## TL;DR

This paper introduces the concept of stable automorphic forms for semisimple groups and explores their role in understanding the geometry of infinite dimensional arithmetic quotients.

## Contribution

It defines stable automorphic forms for semisimple algebraic groups and applies their stability to analyze the geometry of infinite dimensional arithmetic quotients.

## Key findings

- Introduction of stable automorphic forms for semisimple groups
- Application to the geometry of infinite dimensional arithmetic quotients
- New framework for studying automorphic forms in infinite dimensions

## Abstract

In this paper, we introduce the concept of stable automorphic forms for semisimple algebraic groups and use the stability of automorphic forms to study the geometry of infinite dimensional arithmetic quotients.