• Thumbnail for Pierre Deligne
    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...
    19 KB (1,919 words) - 08:10, 15 January 2024
  • Lie type using ℓ-adic cohomology with compact support, introduced by Pierre Deligne and George Lusztig (1976). Lusztig (1985) used these representations...
    28 KB (3,998 words) - 03:03, 24 March 2024
  • French actor Pierre Deland, Swedish actor and director Pierre Pelerin de Maricourt, French scholar Pierre Deligne, Belgian mathematician Pierre Dolbeault...
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  • and étale surjective map U→F{\displaystyle U\to F} (called an atlas). Pierre Deligne and David Mumford introduced this notion in 1969 when they proved that...
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  • Thumbnail for Alexander Grothendieck
    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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  • Grothendieck (1965), and the analogue of the Riemann hypothesis by Pierre Deligne (1974). The earliest antecedent of the Weil conjectures is by Carl Friedrich...
    43 KB (5,950 words) - 17:10, 30 December 2023
  • 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...
    29 KB (4,864 words) - 03:53, 19 April 2024
  • geometry, such as the Weil conjectures (the last of which was proved by Pierre Deligne). Strongly based on commutative algebra, scheme theory allows a systematic...
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  • Thumbnail for Michael Rapoport
    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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  • 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 It was introduced by Pierre Deligne in unpublished...
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  • Thumbnail for Riemann hypothesis
    algebraic varieties; the resulting Weil conjectures were proved by Pierre Deligne (1974, 1980). Arithmetic zeta functions generalise the Riemann and Dedekind...
    125 KB (16,739 words) - 21:49, 23 April 2024
  • Thumbnail for André Weil
    Bernard Dwork, Alexander Grothendieck, Michael Artin, and finally by Pierre Deligne, who completed the most difficult step in 1973. Weil introduced the...
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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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  • 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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  • 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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  • Thumbnail for Jean-Pierre Serre
    provided the tools for the eventual proof of the Weil conjectures by Pierre Deligne. From 1959 onward Serre's interests turned towards group theory, number...
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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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  • real function. Pierre Deligne and Nicholas Katz (1973) extended Picard–Lefschetz theory to varieties over more general fields, and Deligne used this generalization...
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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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  • n−m{\displaystyle n-m}. A more object-focused approach is taken by Pierre Deligne in Le Groupe Fondamental de la Droite Projective Moins Trois Points...
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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 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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  • 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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    Archived from the original on 6 October 2014. Retrieved 18 August 2014. "Pierre Deligne". Abelprize.no. Archived from the original (PDF) on 3 March 2016. Retrieved...
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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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    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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  • Thumbnail for Edward Witten
    the Institute for Advanced Study, Princeton, NJ, 1996–1997. Edited by Pierre Deligne, Pavel Etingof, Daniel S. Freed, Lisa C. Jeffrey, David Kazhdan, John...
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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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  • 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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  • category of ℓ-adic sheaves over the affine line. It was introduced by Pierre Deligne on November 29, 1976 in a letter to David Kazhdan as an analogue of...
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