Emmy Noether Lectures

Real local Langlands as geometric Langlands on the twistor-P^1

Sponsored by the Minerva Research Foundation. 

In 2014, Fargues realized that one can formulate the local Langlands correspondence over p-adic fields as a geometric Langlands correspondence on the Fargues-Fontaine curve. This raises the question of a similar realization of the local Langlands correspondence over the real numbers. The goal of these lectures is to explain a possible formulation. As part of this, we will give a new perspective on the theory of variations of twistor structure, a generalization of the theory of variations of Hodge structure. This uses the theory of analytic stacks developed in our joint work with Clausen, of which we will give a brief overview.

Date & Time

March 06, 2024 | 2:00pm – 3:00pm


Simonyi 101 and Remote Access


Peter Scholze, Max-Planck-Institut für Mathematik, Bonn