Laurent Fargues
Laurent Fargues (born June 19, 1975 in Cagnes-sur-Mer ) is a French mathematician.
Fargues received his doctorate from Michael Harris at the University of Paris VII (Institut de Mathématiques de Jussieu) in 2001 (Correspondances de Langlands locale dans la cohomologie des espaces de Rapoport-Zink) and completed his habilitation in 2009 at the University of Paris-South in Orsay. From 2002 to 2011 he conducted research for the CNRS in Orsay, 2011 to 2013 as Research Director in Strasbourg (IRMA) and from 2013 in Paris at the Institute de Mathématiques de Jussieu.
Fargues deals with the Langlands program , Shimura varieties , p-divisible groups and their modular spaces and p-adic Hodge theory . In 2014 he formulated a conjecture about the geometry of the local Langlands correspondence with the help of the fundamental curve of the p-adic Hodge theory (also called Fargues-Fontaine curve ) introduced by him and Fontaine .
He is invited speaker at the International Congress of Mathematicians in Rio de Janeiro 2018 ( La Courbe ). He received an ERC Advanced Grant in 2017 and held the Cours Peccot at the Collège de France in 2004.
Fonts
- Cohomologie des espaces de modules de groupes p-divisibles et correspondances de Langlands locales, Asterisque, Volume 291, 2004, pp. 1–200
- Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe linéaire et filtrations de ramifications, Duke Math J. Volume 140, 2007, No. 3, Arxiv
- with Alain Genestier, Vincent Lafforgue : L'isomorphisme entres les tours de Lubin-Tate et de Drinfeld, Birkhäuser, Progress in Mathematics, Volume 262, 2008
- Filtration de monodromie et cycles evanescents formels, Inventiones Mathematicae, Volume 177, 2009, pp. 281-305, Arxiv
- with Jean-Marc Fontaine : Vector bundles and p-adic Galois representations, AMS / IP Studies in Advanced Mathematics, Volume 51, 2011
- with JM. Fontaine: Vector bundles on curves and p-adic Hodge theory, in: Automorphic Forms and Galois Representation, London Mathematical Society Lecture Note Series, Volume 415, Cambridge University Press, 2014
- From local class field to the curve and vice versa, Proc. AMS 2015 Summer Research Institute on Algebraic Geometry, Salt Lake City
- with Fontaine: Courbes et fibers vectoriels en théorie de Hodge p-adique, Astérisque, preprint 2017
- Geometrization of the local Langlands correspondence: an overview, Arxiv 2016
Web links
Individual evidence
- ^ Laurent Fargues in the Mathematics Genealogy Project (English) . Arxiv
- ↑ Fargues-Fontaine curve , ncat lab
| personal data | |
|---|---|
| SURNAME | Fargues, Laurent |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | June 19, 1975 |
| PLACE OF BIRTH | Cagnes-sur-Mer |