Vincent Lafforgue
Vincent Lafforgue | |
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Lafforgue at the ICM 2018 | |
Born | (1974-01-20) 20 January 1974 (age 50) Antony, France |
Nationality | French |
Education | Lycée Louis-le-Grand |
Alma mater | École normale supérieure University of Paris |
Awards | EMS Prize (2000) CNRS Silver Medal (2015) Breakthrough Prize in Mathematics (2019) |
Scientific career | |
Fields | Mathematics |
Institutions | Université Grenoble Alpes |
Doctoral advisor | Jean-Benoît Bost |
Vincent Lafforgue (born 20 January 1974) is a French mathematician who is active in algebraic geometry, especially in the Langlands program,[1] and a CNRS "Directeur de Recherches" at the Institute Fourier in Grenoble. He is the younger brother of Fields Medalist Laurent Lafforgue.
Awards
Lafforgue was awarded the 2000 EMS Prize for his contribution to the K-theory of operator algebras: the proof of the Baum–Connes conjecture for discrete co-compact subgroups of , , and some other locally compact groups, and of more general objects. He participated in the International Mathematical Olympiad and wrote two perfect papers in 1990 and 1991, making him one of only three French mathematicians to win two gold medals (besides Joseph Najnudel, 1997–98, and Aurélien Fourré, 2020-21).[2] Lafforgue was an Invited Speaker of the ICM in 2002 in Beijing, China [3] and a Plenary Speaker of the ICM in 2018 in Rio de Janeiro, Brazil.[4] He was awarded the 2019 Breakthrough Prize in Mathematics[5] for his "elegant and groundbreaking contributions to the Langlands program in the function field case", namely for establishing the Langlands Correspondence (the direction from automorphic forms to Galois representations) for connected reductive groups defined over global function fields.[6][7]
References
- ^ Shtukas for reductive groups and Langlands correspondence for function fields Vincent Lafforgue, March, 2017
- ^ Vincent Lafforgue's results at International Mathematical Olympiad
- ^ V. Lafforgue (2002). "Banach KK-theory and the Baum-Connes Conjecture" (PDF). Proceedings of the International Congress of Mathematicians (Beijing, 2002). Vol. II. Beijing: Higher Ed. Press. pp. 795–812.
- ^ Lafforgue, V. (2018). "Shtukas for reductive groups and Langlands correspondence for function fields". arXiv:1803.03791.
- ^ Winners of the 2019 Breakthrough Prize in Mathematics Announced Irish Tech News, October 18, 2018
- ^ V. Lafforgue (2018). "Chtoucas pour les groupes réductifs et paramétrisation de Langlands". Journal of the American Mathematical Society (2018). Vol. 31. pp. 719–891.(arXiv:1209.5352)
- ^ B. Stroh(2016), "La paramétrisation de Langlands globale sur les corps des fonctions (d'après Vincent Lafforgue)", Séminaire Bourbaki 68ème année, 2015-2016, no. 1110, Janvier 2016. (https://webusers.imj-prg.fr/~benoit.stroh/bourbaki.pdf)
External links
- Personal webpage
- Vincent Lafforgue at the Mathematics Genealogy Project
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- Simon Donaldson, Maxim Kontsevich, Jacob Lurie, Terence Tao and Richard Taylor (2015)
- Ian Agol (2016)
- Jean Bourgain (2017)
- Christopher Hacon, James McKernan (2018)
- Vincent Lafforgue (2019)
- Alex Eskin (2020)
- Martin Hairer (2021)
- Takuro Mochizuki (2022)
- Daniel A. Spielman (2023)
- Simon Brendle (2024)
physics
- Nima Arkani-Hamed, Alan Guth, Alexei Kitaev, Maxim Kontsevich, Andrei Linde, Juan Maldacena, Nathan Seiberg, Ashoke Sen, Edward Witten (2012)
- Special: Stephen Hawking, Peter Jenni, Fabiola Gianotti (ATLAS), Michel Della Negra, Tejinder Virdee, Guido Tonelli, Joseph Incandela (CMS) and Lyn Evans (LHC) (2013)
- Alexander Polyakov (2013)
- Michael Green and John Henry Schwarz (2014)
- Saul Perlmutter and members of the Supernova Cosmology Project; Brian Schmidt, Adam Riess and members of the High-Z Supernova Team (2015)
- Special: Ronald Drever, Kip Thorne, Rainer Weiss and contributors to LIGO project (2016)
- Yifang Wang, Kam-Biu Luk and the Daya Bay team, Atsuto Suzuki and the KamLAND team, Kōichirō Nishikawa and the K2K / T2K team, Arthur B. McDonald and the Sudbury Neutrino Observatory team, Takaaki Kajita and Yōichirō Suzuki and the Super-Kamiokande team (2016)
- Joseph Polchinski, Andrew Strominger, Cumrun Vafa (2017)
- Charles L. Bennett, Gary Hinshaw, Norman Jarosik, Lyman Page Jr., David Spergel (2018)
- Special: Jocelyn Bell Burnell (2018)
- Charles Kane and Eugene Mele (2019)
- Special: Sergio Ferrara, Daniel Z. Freedman, Peter van Nieuwenhuizen (2019)
- The Event Horizon Telescope Collaboration (2020)
- Eric Adelberger, Jens H. Gundlach and Blayne Heckel (2021)
- Special: Steven Weinberg (2021)
- Hidetoshi Katori and Jun Ye (2022)
- Charles H. Bennett, Gilles Brassard, David Deutsch, Peter W. Shor (2023)
- John Cardy and Alexander Zamolodchikov (2024)
- Cornelia Bargmann, David Botstein, Lewis C. Cantley, Hans Clevers, Titia de Lange, Napoleone Ferrara, Eric Lander, Charles Sawyers, Robert Weinberg, Shinya Yamanaka and Bert Vogelstein (2013)
- James P. Allison, Mahlon DeLong, Michael N. Hall, Robert S. Langer, Richard P. Lifton and Alexander Varshavsky (2014)
- Alim Louis Benabid, Charles David Allis, Victor Ambros, Gary Ruvkun, Jennifer Doudna and Emmanuelle Charpentier (2015)
- Edward Boyden, Karl Deisseroth, John Hardy, Helen Hobbs and Svante Pääbo (2016)
- Stephen J. Elledge, Harry F. Noller, Roeland Nusse, Yoshinori Ohsumi, Huda Zoghbi (2017)
- Joanne Chory, Peter Walter, Kazutoshi Mori, Kim Nasmyth, Don W. Cleveland (2018)
- C. Frank Bennett and Adrian R. Krainer, Angelika Amon, Xiaowei Zhuang, Zhijian Chen (2019)
- Jeffrey M. Friedman, Franz-Ulrich Hartl, Arthur L. Horwich, David Julius, Virginia Man-Yee Lee (2020)
- David Baker, Catherine Dulac, Dennis Lo, Richard J. Youle [de] (2021)
- Jeffery W. Kelly, Katalin Karikó, Drew Weissman, Shankar Balasubramanian, David Klenerman and Pascal Mayer (2022)
- Clifford P. Brangwynne, Anthony A. Hyman, Demis Hassabis, John Jumper, Emmanuel Mignot, Masashi Yanagisawa (2023)
- Carl June, Michel Sadelain, Sabine Hadida, Paul Negulescu, Fredrick Van Goor, Thomas Gasser, Ellen Sidransky and Andrew Singleton (2024)
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