Grigori Perelman

Grigori Perelman
Grigori Perelman în 1993
Date personale
Nume la naștere	Grigori Iakovlevici Perelman
Născut	13 iunie 1966 (55 de ani) Leningrad, Uniunea Sovietică
Naționalitate	Rus
Cetățenie	Rusia
Ocupație	matematician
Activitate
Domiciliu	Sankt Petersburg, Rusia
Alma mater	Universitatea de Stat din Sankt Petersburg
Organizație	Universitatea de Stat din Sankt Petersburg
Cunoscut pentru	Geometrie riemanniană topologie geometrică Rezolvarea conjecturii lui Poincaré
Premii	Saint Petersburg Mathematical Society Prize (1991), acceptat EMS Prize (1996), declined Fields Medal (2006), refuzat Millennium Prize (2010), refuzat

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