Outline of the proof of the geometric Langlands conjecture for GL(2)

TL;DR

This paper sketches a proof of the categorical geometric Langlands conjecture for GL(2), relying on a series of more manageable intermediate results called Quasi-Theorems.

Contribution

It provides an outline of the proof for the conjecture for GL(2), introducing Quasi-Theorems as key steps to simplify the complex proof structure.

Findings

Outline of the proof structure for the conjecture

Introduction of Quasi-Theorems as intermediate results

Progress towards proving the geometric Langlands conjecture for GL(2)

Abstract

We outline a proof of the categorical geometric Langlands conjecture for GL(2), as formulated in reference [AG], modulo a number of more tractable statements that we call Quasi-Theorems.