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Kontsevich
Maxim Lvovich Kontsevich (russian: Макси́м Льво́вич Конце́вич, ; born 25 August 1964) is a Russian and French mathematician and mathematical physicist. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014. Academic career and research He was born into the family of Lev Kontsevich, Soviet orientalist and author of the Kontsevich system. After ranking second in the All-Union Mathematics Olympiads, he attended Moscow State University but left without a degree in 1985 to become a researcher at the Institute for Information Transmission Problems in Moscow. While at the institute he published papers that caught the interest of the Max Planck Institute in Bonn and was invited for thre ...
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Lev Kontsevich
Lev Rafailovich Kontsevich ( rus, Лев Рафаилович Концевич, , born 3 September 1930) is a Soviet-Russian orientalist and Candidate of Sciences, who created the Kontsevich system, the cyrillization system for the Korean language and currently the main system of transcribing and transliterating Korean words into the Cyrillic alphabet. He is also the father of mathematician Maxim Kontsevich. Biography Kontsevich was born on 1930 in Tambov. He studied at the Moscow Institute of Oriental Studies and graduated from the Institute of Oriental Studies of the USSR Academy of Sciences, then worked there as a junior research fellow. From 1958 to 1974, he worked as head of the Department of Culture and Language and executive secretary of the scientific journal ''Peoples of Asia and Africa''. During this time in 1965, he visited North Korea. In 1973, he defended his dissertation and received a PhD in Philology. Following the dissolution of the Soviet Union in 1991, he se ...
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Kontsevich System
The Kontsevich system () is a Cyrillization system for the Korean language and currently the main system of transcribing and transliterating Korean words into the Cyrillic alphabet. The Kontsevich system was created by the Soviet-Russian scholar Lev Kontsevich () in the 1950s based on the earlier transliteration system designed by (). Features Cyrillization systems for Korean were developed domestically in both North Korea (where it has been proposed to replace the current script in the past) and South Korea; Kontsevich carried out work on the systemization of these rules. In contrast with some systems of Romanization of Korean, the transcription is based primarily on the pronunciation of a word, rather than on its spelling. Consonants Initial Final Medial consonant rules Some letters are transcribed differently in the middle of a word when following certain other letters. Vowels Examples Notes Korean personal names are written by family name first, follow ...
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Shaw Prize
The Shaw Prize is an annual award presented by the Shaw Prize Foundation. Established in 2002 in Hong Kong, it honours "individuals who are currently active in their respective fields and who have recently achieved distinguished and significant advances, who have made outstanding contributions in academic and scientific research or applications, or who in other domains have achieved excellence. The award is dedicated to furthering societal progress, enhancing quality of life, and enriching humanity's spiritual civilization." The prize has been described as the "Nobel of the East". It was founded by Hong Kong entertainment mogul and philanthropist Run Run Shaw (邵逸夫). Award The prize consists of three awards in the fields of astronomy, life science and medicine, and mathematical sciences; it is not awarded posthumously. Nominations are submitted by invited individuals beginning each year in September. Winners are announced in the summer and receive the award at a cere ...
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Crafoord Prize
The Crafoord Prize is an annual science prize established in 1980 by Holger Crafoord, a Swedish industrialist, and his wife Anna-Greta Crafoord. The Prize is awarded in partnership between the Royal Swedish Academy of Sciences and the Crafoord Foundation in Lund. The Academy is responsible for selecting the Crafoord Laureates. The prize is awarded in four categories: astronomy and mathematics; Geology, geosciences; Biology, biosciences, with particular emphasis on ecology; and polyarthritis, the disease from which Holger severely suffered in his last years. According to the Academy, "these disciplines are chosen so as to complement those for which the Nobel Prizes are awarded". Only one award is given each year, according to a rotating scheme – astronomy and mathematics; then geosciences; then biosciences. A Crafoord Prize in polyarthritis is only awarded when a special committee decides that substantial progress in the field has been made. The recipient of the Crafoord Prize is a ...
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Witten Conjecture
In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by Edward Witten in the paper , and generalized in . Witten's original conjecture was proved by Maxim Kontsevich in the paper . Witten's motivation for the conjecture was that two different models of 2-dimensional quantum gravity should have the same partition function. The partition function for one of these models can be described in terms of intersection numbers on the moduli stack of algebraic curves, and the partition function for the other is the logarithm of the τ-function of the KdV hierarchy. Identifying these partition functions gives Witten's conjecture that a certain generating function formed from intersection numbers should satisfy the differential equations of the KdV hierarchy. Statement Suppose that ''M''''g'',''n'' is the moduli stack of compact Riemann surfaces of genus ''g'' with ''n'' distinct marked points ''x' ...
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