Geometrization of the local Langlands correspondence: an overview

TL;DR

This paper provides an overview of the geometrization conjecture related to the local Langlands correspondence, highlighting the geometric approach to understanding this deep area in number theory and representation theory.

Contribution

It offers a comprehensive overview of the geometrization conjecture for the local Langlands correspondence, emphasizing the geometric perspective and recent developments.

Findings

Summarizes key ideas of the geometrization conjecture

Highlights connections between geometry and number theory

Outlines recent progress in the field

Abstract

This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.