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Peter Scholze - 1/3 Real local Langlands as geometric Langlands on twistor-ℙ¹
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https://youtu.be/xqbdkxEhByo Emmy Noether Lectures Topic: Real local Langlands as geometric Langlands on the twistor-P^1 Speaker: Peter Scholze Affiliation: Max-Planck-Institut für Mathematik, Bonn Date: March 04, 2024 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.
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