Langlands parameters for reductive groups over finite fields

TL;DR

This paper introduces a new framework for defining Langlands parameters for connected reductive groups over finite fields and formulates the associated Langlands correspondence.

Contribution

It provides the first systematic definition of Langlands parameters in the finite field setting and establishes the corresponding correspondence.

Findings

Defined Langlands parameters for reductive groups over finite fields

Formulated the Langlands correspondence using these parameters

Lays groundwork for future research in finite field Langlands program

Abstract

We define Langlands parameters for connected reductive groups over finite fields and formulate the Langlands correspondence for finite fields using these parameters.