Pierre Colmez | |
---|---|
Born | 1962 (age 61–62) |
Nationality | French |
Alma mater | École Normale Supérieure and Grenoble University |
Children | Coralie Colmez |
Awards | Fermat Prize (2005) |
Scientific career | |
Fields | Mathematics |
Institutions | CNRS Sorbonne University |
Doctoral advisor | John H. Coates Jean-Marc Fontaine |
Pierre Colmez (born 1962) is a French mathematician and directeur de recherche at the CNRS (IMJ-PRG) known for his work in number theory and p-adic analysis.
Colmez studied at École Normale Supérieure and obtained his doctorate from Grenoble University.
He works on special values of L-functions and -adic representations of -adic groups at the meeting point of Fontaine's and Langlands' programs. His contributions include:
With Jean-Pierre Serre, he co-edited the Correspondance Grothendieck-Serre (2001). [15] [16]
Colmez won the 2005 Fermat Prize for his contributions to the study of L-functions and p-adic Galois representations.
In 1998, he was an invited speaker at the International Congress of Mathematicians in Berlin. [17]
Pierre Colmez and Leila Schneps are the parents of Coralie Colmez. [19] [20] Violinist David Grimal is Colmez's first cousin.
In mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry. It was 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. It was described by Edward Frenkel as "grand unified theory of mathematics."
Jean-Pierre Serre is a French mathematician who has made contributions to algebraic topology, algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.
Pierre René, Viscount Deligne is a Belgian mathematician. He is best known for work on the Weil conjectures, leading to a complete proof in 1973. He is the winner of the 2013 Abel Prize, 2008 Wolf Prize, 1988 Crafoord Prize, and 1978 Fields Medal.
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In algebraic geometry, motives is a theory proposed by Alexander Grothendieck in the 1960s to unify the vast array of similarly behaved cohomology theories such as singular cohomology, de Rham cohomology, etale cohomology, and crystalline cohomology. Philosophically, a "motif" is the "cohomology essence" of a variety.
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.
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Continuation of the Séminaire Nicolas Bourbaki programme, for the 1960s.
In mathematics, a Tannakian category is a particular kind of monoidal category C, equipped with some extra structure relative to a given field K. The role of such categories C is to generalise the category of linear representations of an algebraic group G defined over K. A number of major applications of the theory have been made, or might be made in pursuit of some of the central conjectures of contemporary algebraic geometry and number theory.
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.
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In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual characteristic p. The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge–Tate representation. Hodge–Tate representations are related to certain decompositions of p-adic cohomology theories analogous to the Hodge decomposition, hence the name p-adic Hodge theory. Further developments were inspired by properties of p-adic Galois representations arising from the étale cohomology of varieties. Jean-Marc Fontaine introduced many of the basic concepts of the field.
Jean-Marc Fontaine was a French mathematician. He was one of the founders of p-adic Hodge theory. He was a professor at Paris-Sud 11 University from 1988 to his death.
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Guy Henniart (born 1953, Santes) is a French mathematician at Paris-Sud 11 University. He is known for his contributions to the Langlands program, in particular his proof of the local Langlands conjecture for GL(n) over a p-adic local field—independently from Michael Harris and Richard Taylor—in 2000.
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Leila Schneps is an American mathematician and fiction writer at the Centre national de la recherche scientifique working in number theory. Schneps has written general audience math books and, under the pen name Catherine Shaw, has written mathematically themed murder mysteries.
Wiesława Krystyna Nizioł is a Polish mathematician, director of research at CNRS, based at Institut mathématique de Jussieu. Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology.
Laurent Fargues is a French mathematician working in number theory and arithmetic geometry.
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