• Thumbnail for Grigori Perelman
    Grigori Yakovlevich Perelman (Russian: Григорий Яковлевич Перельман, IPA: [ɡrʲɪˈɡorʲɪj ˈjakəvlʲɪvʲɪtɕ pʲɪrʲɪlʲˈman] ; born 13 June 1966) is a Russian mathematician...
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  • flow, Grigori Perelman was able to modify and complete Hamilton's program. In papers posted to the arXiv repository in 2002 and 2003, Perelman presented...
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  • mathematician Grigori Perelman in 2010. However, he declined the award as it was not also offered to Richard S. Hamilton, upon whose work Perelman built. The...
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  • language and newspaper editor Grigori Perelman (b. 1966), Russian mathematician who proved the Poincaré conjecture Mikhail Perelman (1923–2002), Soviet gymnast...
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  • 1980s and since then several complete proofs have appeared in print. Grigori Perelman announced a proof of the full geometrization conjecture in 2003 using...
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  • Thumbnail for Richard S. Hamilton
    topology. Grigori Perelman built upon Hamilton's results to prove the conjectures, and was awarded a Millennium Prize for his work. However, Perelman declined...
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  • form conjecture (Grigori Perelman, 2006) Poincaré conjecture (Grigori Perelman, 2002) Geometrization conjecture, (Grigori Perelman, series of preprints...
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  • Cheeger and Gromoll at that time, was proved twenty years later by Grigori Perelman. Cheeger and Gromoll's soul theorem states: If (M, g) is a complete...
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  • Thumbnail for Yakov Perelman
    the Russian mathematician Grigori Perelman, who was born in 1966 to a different Yakov Perelman. However, Grigori Perelman told The New Yorker that his...
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  • Grigory (redirect from Grigori (given name))
    Russian sports shooter Grigori Perelman (born 1966), Russian mathematician Grigori Rasputin (1869-1916), a Russian mystic Grigori Voitinsky (1893-1956)...
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  • 50033 Perelman, asteroid named after Grigori Perelman Perel'man (crater), lunar crater named after Yakov Perelman This disambiguation page lists articles...
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  • attempts by three teams of mathematicians to verify the proof given by Grigori Perelman. Subtitled "A legendary problem and the battle over who solved it"...
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  • the Poincaré conjecture through the work of Richard S. Hamilton and Grigori Perelman. In differential geometry, lower bounds on the Ricci tensor on a Riemannian...
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  • Thumbnail for Heat equation
    in 1982 and culminating in the proof of the Poincaré conjecture by Grigori Perelman in 2003. Certain solutions of the heat equation known as heat kernels...
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  • ISBN 978-0-8218-2070-4. Perelman, Grigori (2002). "The entropy formula for the Ricci flow and its geometric applications". arXiv:math.DG/0211159. Perelman, Grigori (2003)...
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    Poincaré conjecture as a particular case, uploaded by Grigori Perelman in November 2002. Perelman appears content to forgo the traditional peer-reviewed...
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  • Thumbnail for Fields Medal
    resolved by Taylor and Wiles) in the proof was found in 1993. In 2006, Grigori Perelman, who proved the Poincaré conjecture, refused his Fields Medal and did...
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  • Thumbnail for Henri Poincaré
    unsolved problems in mathematics until it was solved in 2002–2003 by Grigori Perelman. Poincaré was born on 29 April 1854 in Cité Ducale neighborhood, Nancy...
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  • Fields medal awardees John Milnor, Steve Smale, Michael Freedman, and Grigori Perelman. Here is a summary of the status of the generalized Poincaré conjecture...
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  • Thumbnail for Aleksandr Aleksandrov (mathematician)
    (country) B. Frank and H. Frank — from Germany Yu. Burago, V. Kreinovich; Grigori Perelman Moved from Alma-Ata after Aleksandrov's lecture tour there: M. Kvachko...
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  • Thumbnail for List of geometers
    Hwang Jun-Muk (1963–) – algebraic geometry, differential geometry Grigori Perelman (1966–) – Poincaré conjecture Maryam Mirzakhani (1977–2017) Denis Auroux...
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  • and Topology) recognizing research in specific mathematical fields. Grigori Perelman proved the Poincaré conjecture (one of the seven Millennium Prize Problems)...
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  • Thumbnail for Yuri Burago
    advised Grigori Perelman, who solved the Poincaré conjecture, one of the seven Millennium Prize Problems. Burago was an advisor to Perelman during the...
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  • dimension 4, and for dimension 3 (the original Poincaré conjecture) by Grigori Perelman in 2005. The resolution of the smooth Poincaré conjecture in dimensions...
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  • Thumbnail for Saint Petersburg State University
    (Literature, 1987), and Alexey Ekimov (Chemistry, 2023). Graduates Grigori Perelman and Stanislav Smirnov were awarded the Fields Medal. Among the scholars...
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  • implied by Thurston's geometrization conjecture, which was proven by Grigori Perelman in 2003. The conjecture was independently proven for groups whose actions...
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  • Thurston's geometrization conjecture, proven by Grigori Perelman in 2003. More specifically, Perelman's results provide an algorithm for deciding if two...
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  • Thumbnail for Geometric analysis
    celebrated achievement was the solution to the Poincaré conjecture by Grigori Perelman, completing a program initiated and largely carried out by Richard...
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  • Thumbnail for Manifold
    them, today known as the Poincaré conjecture. After nearly a century, Grigori Perelman proved the Poincaré conjecture (see the Solution of the Poincaré conjecture)...
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  • Thumbnail for Ricci flow
    were directed towards the conjecture's resolution. In 2002 and 2003, Grigori Perelman presented a number of fundamental new results about the Ricci flow...
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