Proof of the Weil conjectures Perverse sheaves Concepts named after Deligne
Awards
Abel Prize (2013) Wolf Prize (2008) Balzan Prize (2004) Crafoord Prize (1988) Fields Medal (1978)
Scientific career
Fields
Mathematics
Institutions
Institute for Advanced Study Institut des Hautes Études Scientifiques
Doctoral advisor
Alexander Grothendieck
Doctoral students
Lê 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.
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...
Grothendieck (1965), and the analogue of the Riemann hypothesis by PierreDeligne (1974). The earliest antecedent of the Weil conjectures is by Carl Friedrich...
French actor Pierre Deland, Swedish actor and director Pierre Pelerin de Maricourt, French scholar PierreDeligne, Belgian mathematician Pierre Dolbeault...
Jean-Louis Verdier (co-founder of the derived category theory), and PierreDeligne. Collaborators on the SGA projects also included Michael Artin (étale...
and non-complete) in the form of mixed Hodge structures, defined by PierreDeligne (1970). A variation of Hodge structure is a family of Hodge structures...
mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold. It was introduced by PierreDeligne in unpublished...
PhD from Paris-Sud 11 University in 1976, under the supervision of PierreDeligne. He held a chair for arithmetic algebraic geometry at the University...
algebraic varieties; the resulting Weil conjectures were proved by PierreDeligne (1974, 1980). Arithmetic zeta functions generalise the Riemann and Dedekind...
number field, the reflex field of the Shimura variety. In the 1970s, PierreDeligne created an axiomatic framework for the work of Shimura. In 1979, Robert...
called "Mittag-Leffler sequences"). However, in 2002, Amnon Neeman and PierreDeligne constructed an example of such a system in a category satisfying (AB4)...
1977. Two Belgian mathematicians have been awarded the Fields Medal: PierreDeligne in 1978 and Jean Bourgain in 1994. Belgium was ranked 23rd in the Global...
introduced in the work of Joseph Bernstein, Alexander Beilinson, and PierreDeligne (1982) as a consequence of the Riemann-Hilbert correspondence, which...
confirmed by the work of Eichler, Shimura, Kuga, Ihara, and PierreDeligne as a result of Deligne's proof of the Weil conjectures, which were shown to imply...
differential form with poles of a certain kind. The concept was introduced by PierreDeligne. In short, logarithmic differentials have the mildest possible singularities...
subvarieties of X. The official statement of the problem was given by PierreDeligne. ∂ u ∂ t ⏟ Variation + ( u ⋅ ∇ ) u ⏟ Convection ⏞ Inertia (per volume)...
Abel Board". www.abelprize.no. Retrieved 30 December 2022. "2003: Jean-Pierre Serre". The Norwegian Academy of Science and Letters. Retrieved 21 July...
classes satisfying the above relation? The problem has been formulated by PierreDeligne and Carlos Simpson was the first to obtain results towards its resolution...
his proof of Serge Lang's generalization of the Mordell conjecture. PierreDeligne (1987) developed a more general framework to define the intersection...
curve. The Deligne–Simpson Problem, an algebraic problem associated with monodromy matrices, is named after Carlos Simpson and PierreDeligne. Simpson was...
List of things named after Richard Dedekind List of things named after PierreDeligne List of things named after Peter Gustav Lejeune Dirichlet List of things...
the school of Alexander Grothendieck. It was later reconsidered by PierreDeligne, and some simplifications made. The pattern of the theory is that of...