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Pierre Deligne information


Pierre Deligne
Deligne in March 2005
Born (1944-10-03) 3 October 1944 (age 79)
Etterbeek, Belgium
NationalityBelgian
Alma materUniversité libre de Bruxelles
Known forProof of the Weil conjectures
Perverse sheaves
Concepts named after Deligne
AwardsAbel Prize (2013)
Wolf Prize (2008)
Balzan Prize (2004)
Crafoord Prize (1988)
Fields Medal (1978)
Scientific career
FieldsMathematics
InstitutionsInstitute for Advanced Study
Institut des Hautes Études Scientifiques
Doctoral advisorAlexander Grothendieck
Doctoral studentsLê Dũng Tráng
Miles Reid
Michael Rapoport

Pierre René, Viscount Deligne (French: [dəliɲ]; born 3 October 1944) 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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Pierre Deligne

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Pierre René, Viscount Deligne (French: [dəliɲ]; born 3 October 1944) is a Belgian mathematician. He is best known for work on the Weil conjectures, leading...

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Weil conjectures

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Grothendieck (1965), and the analogue of the Riemann hypothesis by Pierre Deligne (1974). The earliest antecedent of the Weil conjectures is by Carl Friedrich...

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Pierre

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French actor Pierre Deland, Swedish actor and director Pierre Pelerin de Maricourt, French scholar Pierre Deligne, Belgian mathematician Pierre Dolbeault...

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Alexander Grothendieck

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Jean-Louis Verdier (co-founder of the derived category theory), and Pierre Deligne. Collaborators on the SGA projects also included Michael Artin (étale...

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Hodge structure

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and non-complete) in the form of mixed Hodge structures, defined by Pierre Deligne (1970). A variation of Hodge structure is a family of Hodge structures...

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Deligne cohomology

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mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold. It was introduced by Pierre Deligne in unpublished...

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Michael Rapoport

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PhD from Paris-Sud 11 University in 1976, under the supervision of Pierre Deligne. He held a chair for arithmetic algebraic geometry at the University...

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Riemann hypothesis

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algebraic varieties; the resulting Weil conjectures were proved by Pierre Deligne (1974, 1980). Arithmetic zeta functions generalise the Riemann and Dedekind...

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Shimura variety

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number field, the reflex field of the Shimura variety. In the 1970s, Pierre Deligne created an axiomatic framework for the work of Shimura. In 1979, Robert...

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Inverse limit

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called "Mittag-Leffler sequences"). However, in 2002, Amnon Neeman and Pierre Deligne constructed an example of such a system in a category satisfying (AB4)...

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Belgium

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1977. Two Belgian mathematicians have been awarded the Fields Medal: Pierre Deligne in 1978 and Jean Bourgain in 1994. Belgium was ranked 23rd in the Global...

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Perverse sheaf

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introduced in the work of Joseph Bernstein, Alexander Beilinson, and Pierre Deligne (1982) as a consequence of the Riemann-Hilbert correspondence, which...

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Modular form

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confirmed by the work of Eichler, Shimura, Kuga, Ihara, and Pierre Deligne as a result of Deligne's proof of the Weil conjectures, which were shown to imply...

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Logarithmic form

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differential form with poles of a certain kind. The concept was introduced by Pierre Deligne. In short, logarithmic differentials have the mildest possible singularities...

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Millennium Prize Problems

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subvarieties of X. The official statement of the problem was given by Pierre Deligne. ∂ u ∂ t ⏟ Variation + ( u ⋅ ∇ ) u ⏟ Convection ⏞ Inertia (per volume)...

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Abel Prize

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Abel Board". www.abelprize.no. Retrieved 30 December 2022. "2003: Jean-Pierre Serre". The Norwegian Academy of Science and Letters. Retrieved 21 July...

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Monodromy

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classes satisfying the above relation? The problem has been formulated by Pierre Deligne and Carlos Simpson was the first to obtain results towards its resolution...

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Arakelov theory

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his proof of Serge Lang's generalization of the Mordell conjecture. Pierre Deligne (1987) developed a more general framework to define the intersection...

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Carlos Simpson

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curve. The Deligne–Simpson Problem, an algebraic problem associated with monodromy matrices, is named after Carlos Simpson and Pierre Deligne. Simpson was...

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Lists of mathematics topics

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List of things named after Richard Dedekind List of things named after Pierre Deligne List of things named after Peter Gustav Lejeune Dirichlet List of things...

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Tannakian formalism

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the school of Alexander Grothendieck. It was later reconsidered by Pierre Deligne, and some simplifications made. The pattern of the theory is that of...

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