Quantum Langlands Correspondence

TL;DR

This paper provides informal notes on the local and global quantum Langlands program, highlighting its theoretical framework and recent renewed interest in the field.

Contribution

It offers an accessible overview of the quantum Langlands correspondence, emphasizing its significance and recent developments.

Findings

Clarifies the structure of the quantum Langlands program

Summarizes recent progress and interest in the field

Provides foundational insights for future research

Abstract

These are informal notes written in 2007 that outline the local and global quantum Langlands program. (I decided to make them public in view of the revived interest in the subject.)