# 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 04, 2024 | 2:00pm – 3:00pm

### Location

Wolfensohn Hall and Remote Access### Speakers

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