Grigori Perelman

Grigori Perelman
Date personale
Născut	13 iunie 1966 (55 de ani) Leningrad, RSFS Rusă, URSS
Cetățenie	URSS Rusia
Ocupație	matematician
Activitate
Rezidență	Kupciino[*][[Kupciino (historical district in Saint Petersburg, Russia)|​]]
Domeniu	geometrie diferențială topologie matematică geometrie riemanniană[*]​ Topologie geometrică
Număr Erdős	3
Instituție	Universitatea de Stat din Sankt Petersburg
Alma Mater	Sankt-Peterburgskoe otdelenie Matematiceskogo instituta im. V. A. Steklova RAN[*][[Sankt-Peterburgskoe otdelenie Matematiceskogo instituta im. V. A. Steklova RAN (government organization located in Saint Petersburg, Russia)|​]] matematiko-mehaniceski fakultet Sankt-Peterburgskogo gosudarstvennogo universiteta[*][[matematiko-mehaniceski fakultet Sankt-Peterburgskogo gosudarstvennogo universiteta |​]] Fiziko-matematiceski liței № 239[*][[Fiziko-matematiceski liței № 239 (lyceum school in Saint Petersburg, Russia)|​]] Universitatea de Stat din Sankt Petersburg
Conducător de doctorat	Aleksandr Danilovici Aleksandrov Burago, Iuri Dmitrievici[*][[Burago, Iuri Dmitrievici (matematician rus)|​]]
Cunoscut pentru	Conjectura lui Poincaré conjectura de geometrizare[*]​ soul theorem[*][[soul theorem (mathematical theorem)|​]]
Premii	Medalia Fields (2006) EMS Prize[*][[EMS Prize (award given by European Mathematical Society)|​]] (1996)

Grigori Iakovlevici Perelman (rusă Григорий Яковлевич Перельман; născut pe 13 iunie 1966) este un matematician rus de origini evreiești. A fost născut și trăiește în Sankt Petersburg. Este cunoscut pentru contribuțiile sale la geometria riemanniană și pentru faptul că a rezolvat conjectura lui Poincaré. În 2006 a fost decorat cu Medalia Fields, pe care însă a refuzat să o accepte. Pe 18 martie 2010, a fost anunțat că el întrunește criteriile pentru a primi Clay Millennium Prize pentru rezolvarea conjecturii Poincaré. La data de 1 iulie 2010, el a refuzat premiul de un milion de dolari, spunând că el consideră că contribuția sa la demonstrarea conjecturii Poincaré nu este mai mare decât cea a lui Richard Hamilton, care a introdus teoria Ricci flow cu scopul de a ataca Conjectura geometrizării.

Lucrări

Disertație

• Перельман, Григорий Яковлевич (1990). Седловые поверхности в евклидовых пространствах (Saddle surfaces in Euclidean spaces): Автореф. дис. на соиск. учен. степ. канд. физ.-мат. наук (în rusă). Ленинградский государственный университет. 

Research papers

• Burago, Yu. D.; Gromov, M. L.; Perelman, G. Ya. (1992). „A. D. Aleksandrov spaces with curvatures bounded below”. Russian Mathematical Surveys. 47 (2): 1–58. doi:10.1070/RM1992v047n02ABEH000877. Mentenanță CS1: Nume multiple: lista autorilor (link)
• Perelman, G. (1993). „Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers” (PDF). Comparison Geometry. 30: 157–163. Accesat în 23 august 2006. 
• Perelman, G. (1994). „Proof of the soul conjecture of Cheeger and Gromoll” (PDF). Journal of Differential Geometry. 40 (1): 209–212. MR 1285534. 
• Perelman, G. (1993). „Collapsing with No Proper Extremal Subsets”. Comparison Geometry. 30: 157–163. 
• Perelman, G. (1994). „Elements of Morse theory on Aleksandrov spaces”. Saint Petersburg Mathematical Journal. 5 (1): 205–213. 
• Perelman, G. Ya. (1994). „Extremal subsets in Alexandrov spaces and the generalized Liberman theorem”. Saint Petersburg Mathematical Journal. 5 (1): 215–227. 

Proof of the geometrization conjecture

• Davoust, Emmanuel. "A hundred years of science at the Pic du Midi Observatory". arXiv:astro-ph/9707201
• Davoust, Emmanuel. "A hundred years of science at the Pic du Midi Observatory". arXiv:astro-ph/9707201
• Davoust, Emmanuel. "A hundred years of science at the Pic du Midi Observatory". arXiv:astro-ph/9707201

Bibliografie

• Gessen, Masha (2009). Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century. Boston, Massachusetts: Houghton Mifflin Harcourt. ISBN 978-0151014064. 
• Anderson, M.T. 2005. Singularities of the Ricci flow. Encyclopedia of Mathematical Physics, Elsevier. (Comprehensive exposition of Perelman's insights that lead to complete classification of 3-manifolds)
• The Associated Press, „Russian may have solved great math mystery”. CNN. 1 iulie 2004. Accesat în 15 august 2006. 
• Cao, Huai-Dong (iunie 2006). „A Complete Proof of the Poincaré and Geometrization Conjectures — application of the Hamilton-Perelman theory of the Ricci flow” (PDF). Asian Journal of Mathematics. 10 (2).  Erratum. Revised version (December 2006): Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture
• Collins, Graham P. (2004). „The Shapes of Space”. Scientific American (July): 94–103. 
• Jackson, Allyn (septembrie 2006). „Conjectures No More? Consensus Forming on the Proof of the Poincaré and Geometrization Conjectures” (PDF). Notices of the AMS. 
• Davoust, Emmanuel. "A hundred years of science at the Pic du Midi Observatory". arXiv:astro-ph/9707201
• Kusner, Rob. „Witnesses to Mathematical History Ricci Flow and Geometry” (PDF). Accesat în 22 august 2006.  (an account of Perelman's talk on his proof at MIT; pdf file; also see Sugaku Seminar 2003-10 pp 4–7 for an extended version in Japanese)
• Lobastova, Nadejda (20 august 2006). „World's top maths genius jobless and living with mother”. The Daily Telegraph. Accesat în 24 august 2006. 
• Davoust, Emmanuel. "A hundred years of science at the Pic du Midi Observatory". arXiv:astro-ph/9707201
• Mullins, Justin (22 august 2006). „Prestigious Fields Medals for mathematics awarded”. New Scientist. 
• Overbye, Dennis (15 august 2006). „An Elusive Proof and Its Elusive Prover”. The New York Times. Accesat în 15 august 2006. 
• Randerson, James (16 august 2006). „Meet the cleverest man in the world (who's going to say no to a $1m prize)”. The Guardian. London. 
• Robinson, Sara (15 aprilie 2003). „Russian Reports He Has Solved a Celebrated Math Problem”. The New York Times. Accesat în 20 august 2006. 
• Schecter, Bruce (17 iulie 2004). „Taming the fourth dimension”. New Scientist. 183 (2456). 
• Weeks, Jeffrey R. (2002). The Shape of Space. New York: Marcel Dekker. ISBN 0-8247-0709-5.  (The author is a former Ph.D. student of Bill Thurston.)
• Weisstein, Eric (15 aprilie 2004). „Poincaré Conjecture Proved--This Time for Real”. Mathworld. Accesat în 22 august 2006. 
• Gessen, Masha (2009). Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century. Houghton Mifflin Harcourt. ISBN 978-0-15-101406-4. Accesat în 12 decembrie 2012.  (Story of Grigory Perelman based on information from people who interacted with him.)

Legături externe

• O'Connor, John J.; Robertson, Edmund F., „Grigori Perelman”, MacTutor History of Mathematics archive, University of St Andrews .
• Grigori Perelman at the Mathematics Genealogy Project
• Format:IMO results
• Fields Medals awarded at the 2006 IMU
• International Congress of Mathematicians 2006
• Perelman's arXiv eprints (link to APS mirror due to server strain on arxiv.org re Perelman)
• Mathematics & Mechanics Faculty of Saint Petersburg State University
• Petersburg Department of Steklov Institute of Mathematics
• Notes and commentary on Perelman's Ricci flow papers
• International Mathematical Olympiad 1982 (Budapest, Hungary)
• Maths solution tops science class (Link to BBC News page)
• Breakthrough Of The Year: The Poincaré Conjecture--Proved
• Perelman refuses a million dollars to live in complete poverty
• ICM 2006 Video Presentation
• He Conquered the Conjecture essay on Perelman by John Allen Paulos from The New York Review of Books
• The man who refused a million dollars