Vincent Lafforgue (born 20 January 1974) is a French mathematician who is active in
algebraic geometry, especially in the
Langlands program
In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by , it seeks to relate Galois groups in algebraic num ...
, and a
CNRS "
Directeur de Recherches" at the Institute Fourier in
Grenoble
lat, Gratianopolis
, commune status = Prefecture and commune
, image = Panorama grenoble.png
, image size =
, caption = From upper left: Panorama of the city, Grenoble’s cable cars, place Saint- ...
. He is the younger brother of
Fields Medalist
Laurent Lafforgue
Laurent Lafforgue (; born 6 November 1966) is a French mathematician. He has made outstanding contributions to Langlands' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for the automorphism ...
.
Awards
Lafforgue was awarded the 2000
EMS Prize
The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current ...
for his contribution to the
K-theory
In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometr ...
of
operator algebra
In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings.
The results obtained in the study of ...
s: the proof of the
Baum–Connes conjecture In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the K-theory of the reduced C*-algebra of a group and the K-homology of the classifying space of proper actions of that group. The conje ...
for discrete co-compact subgroups of
,
,
and some other locally compact groups, and of more general objects. He participated in the
International Mathematical Olympiad
The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. The first IMO was held in Romania in 1959. It has since been held annually, except i ...
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). Lafforgue was an Invited Speaker of the
ICM in 2002 in Beijing, China
and a Plenary Speaker of the
ICM in 2018 in Rio de Janeiro, Brazil. He was awarded the 2019
Breakthrough Prize in Mathematics
The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013.
It is funded by Yuri Milner and Mark Zuckerberg and others. The annual award comes with a cash gift of $3 million. The Breakthrough Prize ...
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.
[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)
]
References
External links
Personal webpage*
1974 births
Living people
20th-century French mathematicians
21st-century French mathematicians
Algebraic geometers
Lycée Louis-le-Grand alumni
École Normale Supérieure alumni
University of Paris alumni
International Mathematical Olympiad participants
People from Antony, Hauts-de-Seine
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