Geometrization of the local Langlands correspondence: an overview

By Laurent Fargues. 2016

63 citations recorded by the source corpus.

This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.

Subfields: Algebra and Number Theory, Astronomy and Astrophysics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5b6234ddfb04dea40d334fbd346366a5007ee820

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Peter Scholze
2. Tasho Kaletha
3. Lue Pan

In Astronomy and Astrophysics

1. Peter Scholze
2. Tasho Kaletha

In Mathematical Physics

1. Peter Scholze
2. Tasho Kaletha
3. W. Gan
4. Laurent Fargues
5. Ruochuan Liu
6. Kiran S. Kedlaya
7. B. Bhatt
8. Jessica Fintzen

Citations in the corpus

• The Local Langlands Conjectures for Non-quasi-split Groups (2016, background): “Based on that, Fargues [Far16] has outlined a geometric approach that would hopefully lead to a proof of Conjecture F.”
• p-ADIC GEOMETRY (2017, background): “un G of G-bundles on the Fargues-Fontaine curve. Fargues realized that this gives rise to a picture perfectly resembling the geometric Langlands correspondence for classical smooth projective curves, [Far16], [Far18], [FS]. This in particular involves perverse ‘-adic sheaves on Bun G whose pullback ”