2025/2026

Geometrization of the Langlands Correspondence

Type: Optional course (faculty)

Delivered by: Faculty of Mathematics

When: 3, 4 module

Open to: students of all HSE University campuses

Language: English

Contact hours: 36

Course Syllabus

Abstract

In the last 5 years, there has been a considerable amount of work led by Peter Scholze, Laurent Fargues and various colleagues to extend the classical (l-adic/real) local Langlands correspondence to a geometric version. In this course we will provide an overview of the main actors appearing in both the l-adic and real versions. This will include a stack of G-bundles representing the analytic side (i.e. automorphic representations) and a stack of L-parameters representing the number theoretic side (i.e. Galois representations).