The local Langlands correspondence for GSp_4 over local function fields

TL;DR

This paper establishes the local Langlands correspondence for GSp_4 over non-archimedean local fields of positive characteristic, expanding the understanding of automorphic forms and representation theory in this setting.

Contribution

It proves the local Langlands correspondence for GSp_4 over local function fields, a case previously unresolved in positive characteristic.

Findings

Confirmed the correspondence for GSp_4 over fields with residue characteristic > 2

Extended the scope of Langlands program to positive characteristic fields

Provided new tools for studying automorphic representations in this context

Abstract

We prove the local Langlands correspondence for GSp_4(F), where F is a non-archimedean local field of positive characteristic with residue characteristic > 2.