Laurent Lafforgue (French: [lafɔʁɡ]; born 6 November 1966) is a French mathematician. He has made outstanding contributions to Langlands' program in the fields of number theory and analysis,[1] and in particular proved the Langlands conjectures for the automorphism group of a function field. The crucial contribution by Lafforgue to solve this question is the construction of compactifications of certain moduli stacks of shtukas. The proof was the result of more than six years of concentrated efforts.[2]
Laurent Lafforgue | |
|---|---|
 | |
| Born | 6 November 1966 |
| Nationality | French |
| Alma mater | École Normale Supérieure Paris-Saclay University |
| Known for | Proof of Langlands conjectures |
| Awards | Clay Research Award (2000) Fields Medal (2002) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | CNRS |
| Thesis | D-stukas de Drinfeld (1994) |
| Doctoral advisor | Gérard Laumon |
In 2002 at the 24th International Congress of Mathematicians in Beijing, China, he received the Fields Medal together with Vladimir Voevodsky.[3]
Biography
editLaurent Lafforgue has two brothers, Thomas and Vincent, both mathematicians. Thomas is now a teacher in a classe préparatoire aux grandes écoles at Lycée Louis le Grand in Paris and Vincent a CNRS directeur de recherches at the Institut Fourier in Grenoble.
He won 2 silver medals at International Mathematical Olympiad (IMO) in 1984 and 1985. He entered the École Normale Supérieure in 1986. In 1994 he received his Ph.D. under the direction of Gérard Laumon in the Arithmetic and Algebraic Geometry team at the Université de Paris-Sud. Currently he is a research director of CNRS. He was detached as permanent professor of mathematics at the Institut des Hautes Études Scientifiques (IHÉS) in Bures-sur-Yvette, France, in 2000-2021. In 2021, he left his IHÉS position and moved to Huawei.[4]
Laurent is a devout Catholic and never married.[5]
Career
editHe received the Clay Research Award in 2000, and the Grand Prix Jacques Herbrand of the French Academy of Sciences in 2001 and was awarded the Fields Medal in 2002. His younger brother Vincent Lafforgue is also a notable mathematician. On 22 May 2011 Lafforgue was awarded an honorary Doctor of Science from the University of Notre Dame.[6]
Views
editLafforgue is a critic of what he calls the "pedagogically correct" in France's educational system. In 2005, he was forced to resign from the Haut conseil de l'éducation after he expressed these views in a private letter that he sent to Bruno Racine, president of the HCE, that later was made public.[7]
Works
editExpository articles
- Lafforgue, L. Chtoucas de Drinfeld et applications. [Drinfelʹd shtukas and applications] Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 563–570.
- Lafforgue, Laurent. Chtoucas de Drinfeld, formule des traces d'Arthur-Selberg et correspondance de Langlands. [Drinfelʹd shtukas, Arthur-Selberg trace formula and Langlands correspondence] Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), 383–400, Higher Ed. Press, Beijing, 2002. arXiv:math/0212399
Research articles
- Lafforgue, Laurent. Chtoucas de Drinfeld et correspondance de Langlands. [Drinfelʹd shtukas and Langlands correspondence] Invent. Math. 147 (2002), no. 1, 1–241.
Notes
edit- ^ D Mackenzie (2000) Fermat's Last Theorem's First Cousin, Science 287(5454), 792-793.
- ^ Laumon, Gérard (2002), "The work of Laurent Lafforgue", Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), Beijing: Higher Education Press, pp. 91–97, arXiv:math.NT/0212417, ISBN 7-04-008690-5, MR 1989178
- ^ Friedlander, Eric M.; Rapoport, Michael; Suslin, Andrei (2003). "The mathematical work of the 2002 Fields medalists" (PDF). Notices Amer. Math. Soc. 50 (2): 212–217.
- ^ "French Mathematician Laurent Lafforgue joins Huawei team". 28 September 2021.
- ^ "The Christ is the truth" (PDF).
- ^ University of Notre Dame. "Honorary Degree". Archived from the original on 13 August 2011. Retrieved 20 June 2011.
- ^ "" Démission " forcée de Laurent Lafforgue, mathématicien français, du Haut Conseil de l'Education (HCE)", Polémia (in French), December 10, 2005.
References
edit- Gérard Laumon, La correspondance de Langlands sur les corps de fonctions (d'après Laurent Lafforgue), Séminaire Bourbaki, 52e année, 1999–2000, no. 873
External links
edit- Official home page (in French)
- O'Connor, John J.; Robertson, Edmund F., "Laurent Lafforgue", MacTutor History of Mathematics Archive, University of St Andrews
- Laurent Lafforgue at the Mathematics Genealogy Project
- Laurent Lafforgue's results at International Mathematical Olympiad
- Lafforgue and education in France L’Affaire Lafforgue (in Portuguese)