A doctorate from Paris Diderot University in 2001 marked the start of a career that placed Laurent Fargues at the center of arithmetic geometry and number theory. Born in 1975 in Cagnes-sur-Mer, Fargues has established himself as a critical figure in the study of p-adic Hodge theory and the structural properties of p-divisible groups.
Academic Foundations and Research Roles
Fargues completed his doctoral studies in 2001 under the supervision of Michael Harris at Paris Diderot University. He later earned his habilitation at Paris-Sud University in Orsay in 2009. His professional trajectory includes a tenure as a chargé de recherches at the CNRS in Orsay between 2002 and 2011, followed by a period as a CNRS research director at the IRMA in Strasbourg. Since 2013, he has served as a CNRS research director at the Institut de Mathématiques de Jussieu, part of the Sorbonne University campus.
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The research conducted by Fargues focuses on Shimura varieties and the moduli spaces of p-divisible groups. A defining aspect of his work involves the Fargues–Fontaine curve, a mathematical object developed in collaboration with Jean-Marc Fontaine. This research seeks to link the local Langlands correspondence with more categorical structures, refining classical conjectures. His collaborative efforts include significant work with Peter Scholze regarding the stack of vector bundles on the Fargues–Fontaine curve, which offers potential advancements for local Langlands correspondence constructions for general groups.
Distinctions and Professional Recognition
Fargues received the Petit d'Ormoy, Carriere, Thebault prize from the French Academy of Sciences in 2009. His pedagogical contributions include delivering the Peccot course at the Collège de France during the spring of 2004. In 2018, he served as an invited speaker at the International Congress of Mathematicians held in Rio de Janeiro, contributing to sessions covering both number theory and algebraic geometry. His complex body of work has been examined in specialized academic settings, including a 2016 Arbeitsgemeinschaft meeting at Oberwolfach and a 2018 Séminaire Bourbaki exposé by Matthew Morrow.
Fast facts
- Born: 19 July 1975, Cagnes-sur-Mer
- Doctoral Advisor: Michael Harris
- Habilitation: 2009, Paris-Sud University
- Primary Field: Number Theory, Arithmetic Geometry
- Current Affiliation: Institut de Mathématiques de Jussieu-Paris Rive Gauche
- Key Collaboration: Jean-Marc Fontaine
Questions readers ask
What is the Fargues–Fontaine curve?
It is a geometric object developed by Laurent Fargues and Jean-Marc Fontaine used to study vector bundles and p-adic Hodge theory.
Where does Fargues currently work?
He is a CNRS research director at the Institut de Mathématiques de Jussieu-Paris Rive Gauche.
Achievements
- Held posts at Délégation Paris-Centre (DR2) and Institut de Mathématiques de Jussieu-Paris Rive Gauche
