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Kontsevich Moduli Space
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Khimki
Khimki ( rus, Химки, p=ˈxʲimkʲɪ) is a city in Moscow Oblast, Russia, 18.25 kilometres northwest of central Moscow, and immediately beyond the Moscow city boundary. History Origins and formation Khimki was initially a railway station that existed since 1850 on the Moscow – Saint Petersburg Railway. The Moskva-Volga Canal was constructed between 1932 and 1937 on which Khimki lies on the west bank. Khimki was then officially founded in 1939. Khimki in the Battle of Moscow The German attack starting the Battle of Moscow (code-named ‘Operation Typhoon’) began on 2 October 1941. The attack on a broad front brought German forces to occupy the village of Krasnaya Polyana (now in the town of Lobnya) to Moscow's North West. Krasnaya Polyana was taken on 30 November. Many sources state that at least one German army patrol visited Khimki. Similarly many sources state this as the closest point the Germans reached to Moscow (Khimki at the time was from the edge of Moscow). Amo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Henri Poincaré Prize
The Henri Poincaré Prize is awarded every three years since 1997 for exceptional achievements in mathematical physics and foundational contributions leading to new developments in the field. The prize is sponsored by the Daniel Iagolnitzer Foundation and is awarded to approximately three scientists at the International Congress on Mathematical Physics. The prize was also established to support promising young researchers that already made outstanding contributions in mathematical physics. Prize recipients See also * Henri Poincaré * List of physics awards * List of mathematics awards This list of mathematics awards is an index to articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the wor ... References External links Webpage of the prizeDaniel Iagolnitzer Foundation Physics awards Research awards Mathematical physics Tr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Atiyah
Sir Michael Francis Atiyah (; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. Life Atiyah grew up in Sudan and Egypt but spent most of his academic life in the United Kingdom at the University of Oxford and the University of Cambridge and in the United States at the Institute for Advanced Study. He was the President of the Royal Society (1990–1995), founding director of the Isaac Newton Institute (1990–1996), master of Trinity College, Cambridge (1990–1997), chancellor of the University of Leicester (1995–2005), and the President of the Royal Society of Edinburgh (2005–2008). From 1997 until his death, he was an honorary professor in the University of Edinburgh. Atiyah's mathematical collaborators included Raoul Bott, Friedrich Hirzebruch and Isadore Sin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Planck Institute For Mathematics
The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association of 84 institutes engaging in fundamental research in the arts and the sciences. The MPIM is the only Max Planck institute specializing in pure mathematics. The Institute was founded by Friedrich Hirzebruch in 1980, having emerged from the collaborative research center "Theoretical Mathematics" ( Sonderforschungsbereich "Theoretische Mathematik"). Hirzebruch shaped the institute as its director until his retirement in 1995. Currently, the institute is managed by a board of five directors consisting of Peter Teichner (managing director), Werner Ballmann, Gerd Faltings, Peter Scholze, and Don Zagier. Friedrich Hirzebruch was, and Yuri Manin and Günter Harder are, acting as emeriti. Re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The New York Times
''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid digital subscribers. It also is a producer of popular podcasts such as '' The Daily''. Founded in 1851 by Henry Jarvis Raymond and George Jones, it was initially published by Raymond, Jones & Company. The ''Times'' has won 132 Pulitzer Prizes, the most of any newspaper, and has long been regarded as a national " newspaper of record". For print it is ranked 18th in the world by circulation and 3rd in the U.S. The paper is owned by the New York Times Company, which is publicly traded. It has been governed by the Sulzberger family since 1896, through a dual-class share structure after its shares became publicly traded. A. G. Sulzberger, the paper's publisher and the company's chairman, is the fifth generation of the family to head the pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French People
The French people (french: Français) are an ethnic group and nation primarily located in Western Europe that share a common French culture, history, and language, identified with the country of France. The French people, especially the native speakers of langues d'oïl from northern and central France, are primarily the descendants of Gauls (including the Belgae) and Romans (or Gallo-Romans, western European Celtic and Italic peoples), as well as Germanic peoples such as the Franks, the Visigoths, the Suebi and the Burgundians who settled in Gaul from east of the Rhine after the fall of the Roman Empire, as well as various later waves of lower-level irregular migration that have continued to the present day. The Norse also settled in Normandy in the 10th century and contributed significantly to the ancestry of the Normans. Furthermore, regional ethnic minorities also exist within France that have distinct lineages, languages and cultures such as Bretons in Brittany, Occi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Breakthrough Prize In Mathematics
The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013. It is funded by Yuri Milner and Mark Zuckerberg and others. The annual award comes with a cash gift of $3 million. The Breakthrough Prize Board also selects up to three laureates for the New Horizons in Mathematics Prize which awards $100,000 to early-career researchers. Starting in 2021 (prizes announced in September 2020), the $50,000 Maryam Mirzakhani New Frontiers Prize is also awarded to a number of women mathematicians who have completed their PhDs within the past two years. Motivation The founders of the prize have stated that they want to help scientists to be perceived as celebrities again, and to reverse a 50-year "downward trend". They hope that this may make "more young students aspire to be scientists". Laureates New Horizons in Mathematics Prize The past laureates of the ''New Horizons in Mathematics'' prize were: *2016 ** André Arroja Neves **Larry Guth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fundamental Physics Prize
The Breakthrough Prize in Fundamental Physics is one of the Breakthrough Prizes, awarded by the Breakthrough Prize Board. Initially named Fundamental Physics Prize, it was founded in July 2012 by Russia-born Israeli entrepreneur, venture capitalist and physicist Yuri Milner. The prize is awarded to physicists from theoretical, mathematical, or experimental physics that have made transformative contributions to fundamental physics, and specifically for recent advances. Worth USD$3 million, the prize is the most lucrative physics prize in the world and is more than twice the amount given to the Nobel Prize awardees. Unlike the annual Breakthrough Prize in Fundamental Physics, the Special Breakthrough Prize is not limited to recent discoveries, while the prize money is still USD$3 million. Physics Frontiers Prize has only been awarded for 2 years. Laureates are automatically nominated for next year's Breakthrough Prize in Fundamental Physics. If they are not awarded the prize the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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