Oct 16 2019

Algebraic K-Theory Seminar: Geometrization of the local Langlands program: an introduction, by Arthur-César Le Bras

October 16, 2019

3:00 PM - 3:50 PM

Location

636 SEO

Address

Chicago, IL

Arthur-César Le Bras (Paris 13): Geometrization of the local Langlands program: an introduction

There has been recently spectacular progress in the understanding of the geometry underlying the local Langlands correspondence, mainly due to Fargues and Scholze. This talk will be an introduction to this circle of ideas. In particular, I would like to explain :
1) explain how to geometrize the notion of a smooth admissible representation of a p-adic reductive group, like GL_n(Q_p).
2) the GL_1 case (Fargues), or how simple connectedness of spaces of non-zero global sections of vector bundles on the Fargues--Fontaine curve leads to a new proof of local class field theory.
No strong familiarity with the Langlands program and p-adic Hodge theory will be assumed.

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Contact

Benjamin Antieau

Date posted

Oct 22, 2019

Date updated

Oct 22, 2019

Speakers

Arthur-César Le Bras | (Paris 13)