Laurent Clozel | |
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| Born | 23 October 1953 Gap, France |
| Alma mater | École normale supérieure |
| Awards | Prix Élie Cartan |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Paris-Saclay University |
| Doctoral advisor | Michel Duflo Paul Gérardin |
Laurent Clozel (born 23 October 1953 in Gap, France) is a French mathematician and professor at Paris-Saclay University. His mathematical work is in the area of automorphic forms, including the Langlands program.
Clozel was a student at the École normale supérieure and later obtained a Ph.D. under Michel Duflo and Paul Gérardin. [1]
He received the Prix Élie Cartan of the French Academy for his work on base change for automorphic forms. He was an invited speaker at the 1986 International congress of mathematicians in Berkeley, talking about "Base change for GL(n)".
Together with Richard Taylor, Nicholas Shepherd-Barron, and Michael Harris he proved the Sato–Tate conjecture. [2]
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Robert Phelan Langlands, is a Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, for which he received the 2018 Abel Prize. He was an emeritus professor and occupied Albert Einstein's office at the Institute for Advanced Study in Princeton, until 2020 when he retired.
In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and consequential conjectures about connections between number theory and geometry. Proposed by Robert Langlands, it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. Widely seen as the single biggest project in modern mathematical research, the Langlands program has been described by Edward Frenkel as "a kind of grand unified theory of mathematics."
Gorō Shimura was a Japanese mathematician and Michael Henry Strater Professor Emeritus of Mathematics at Princeton University who worked in number theory, automorphic forms, and arithmetic geometry. He was known for developing the theory of complex multiplication of abelian varieties and Shimura varieties, as well as posing the Taniyama–Shimura conjecture which ultimately led to the proof of Fermat's Last Theorem.
John Torrence Tate Jr. was an American mathematician distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
Jacques Salomon Hadamard was a French mathematician who made major contributions in number theory, complex analysis, differential geometry and partial differential equations.
In mathematics, the Sato–Tate conjecture is a statistical statement about the family of elliptic curves Ep obtained from an elliptic curve E over the rational numbers by reduction modulo almost all prime numbers p. Mikio Sato and John Tate independently posed the conjecture around 1960.
Richard Lawrence Taylor is a British mathematician working in the field of number theory. He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at Stanford University.
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties.
In mathematics, the local Langlands conjectures, introduced by Robert Langlands, are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups.
In mathematics, the Arthur conjectures are some conjectures about automorphic representations of reductive groups over the adeles and unitary representations of reductive groups over local fields made by James Arthur (1989), motivated by the Arthur–Selberg trace formula.
Cédric Patrice Thierry Villani is a French politician and mathematician working primarily on partial differential equations, Riemannian geometry and mathematical physics. He was awarded the Fields Medal in 2010, and he was the director of Sorbonne University's Institut Henri Poincaré from 2009 to 2017. As of September 2022, he is a professor at Institut des Hautes Études Scientifiques.
Michael Howard Harris is an American mathematician known for his work in number theory. He is a professor of mathematics at Columbia University and professor emeritus of mathematics at Université Paris Cité.
In mathematics, Lafforgue's theorem, due to Laurent Lafforgue, completes the Langlands program for general linear groups over algebraic function fields, by giving a correspondence between automorphic forms on these groups and representations of Galois groups.
In mathematics, base change lifting is a method of constructing new automorphic forms from old ones, that corresponds in Langlands philosophy to the operation of restricting a representation of a Galois group to a subgroup.
James S. Milne is a New Zealand mathematician working in arithmetic geometry.
Robert Edward Kottwitz is an American mathematician.
Günter Harder is a German mathematician, specializing in arithmetic geometry and number theory.
Colette Moeglin is a French mathematician, working in the field of automorphic forms, a topic at the intersection of number theory and representation theory.
Sug Woo Shin is a professor of mathematics at the University of California, Berkeley working in number theory, automorphic forms, and the Langlands program.
Nicolas Bergeron is a French mathematician born on 19 December 1975, who works in Pierre and Marie Curie University in Paris.
