Arthur's multiplicity formula for GSp$_4$ and restriction to Sp$_4$

TL;DR

This paper proves the classification of discrete automorphic representations of GSp4 and establishes compatibility between local Langlands correspondences for GSp4 and Sp4, advancing understanding in automorphic forms and representation theory.

Contribution

It provides a complete classification of automorphic representations of GSp4 and clarifies the relationship between local Langlands correspondences for GSp4 and Sp4.

Findings

Classification of discrete automorphic representations of GSp4 established

Compatibility between local Langlands correspondences for GSp4 and Sp4 proven

Advances in automorphic representation theory for symplectic groups

Abstract

We prove the classification of discrete automorphic representations of GSp$_4$ explained in [Art04], as well as a compatibility between the local Langlands correspondences for GSp$_4$ and Sp$_4$ .