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David Kazhdan
David Kazhdan ( he, דוד קשדן), born Dmitry Aleksandrovich Kazhdan (russian: Дми́трий Александро́вич Кажда́н), is a Soviet and Israeli mathematician known for work in representation theory. Kazhdan is a 1990 MacArthur Fellow. Biography Kazhdan was born on 20 June 1946 in Moscow, USSR. His father is Alexander Kazhdan. He earned a doctorate under Alexandre Kirillov in 1969 and was a member of Israel Gelfand's school of mathematics. He is Jewish, and emigrated from the Soviet Union to take a position at Harvard University in 1975. He changed his name from Dmitri Aleksandrovich to David and became an Orthodox Jew around that time. In 2002, he immigrated to Israel and is now a professor at the Hebrew University of Jerusalem as well as a professor emeritus at Harvard. On October 6, 2013, Kazhdan was critically injured in a car accident while riding a bicycle in Jerusalem. Kazhdan has four children. His son, Eli Kazhdan, was general director of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moscow
Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million residents within the city limits, over 17 million residents in the urban area, and over 21.5 million residents in the metropolitan area. The city covers an area of , while the urban area covers , and the metropolitan area covers over . Moscow is among the world's largest cities; being the most populous city entirely in Europe, the largest urban and metropolitan area in Europe, and the largest city by land area on the European continent. First documented in 1147, Moscow grew to become a prosperous and powerful city that served as the capital of the Grand Duchy that bears its name. When the Grand Duchy of Moscow evolved into the Tsardom of Russia, Moscow remained the political and economic center for most of the Tsardom's history. Whe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Kazhdan
Alexander Petrovich Kazhdan (russian: Алекса́ндр Петро́вич Кажда́н; 3 September 1922 – 29 May 1997) was a Soviet-American Byzantinist. Among his publications was the three-volume ''Oxford Dictionary of Byzantium'', a comprehensive encyclopedic work containing over than 5,000 entries. Early life and education Born in Moscow, Kazhdan was educated at the Pedagogical Institute of Ufa and the University of Moscow, where he studied with the historian of medieval England, Evgenii Kosminskii.Bryer, Anthony.Obituary: Alexander Kazhdan" ''The Independent''. 5 June 1997. Retrieved August 28, 2010. A post-war Soviet initiative to revive Russian-language Byzantine studies led Kazhdan to write a dissertation on the agrarian history of the late Byzantine empire (published in 1952 as ''Agrarnye otnosheniya v Vizantii XIII-XIV vv.'') Despite a growing reputation in his field, anti-Semitic prejudice in the Joseph Stalin-era Soviet academy forced Kazhdan to accept a seri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yuval Flicker
Yuval Zvi Flicker ( he, יוּבַל צְבִי פְלִיקֶר; born 1955 in Israel) is an American mathematician. His primary research interests include automorphic representations. He received his PhD degree from the University of Cambridge in 1978. His thesis advisor was Alan Baker, in the area of transcendental number theory. He taught at Princeton University, Columbia University, Harvard University and Ohio State University, where he now has the title of Faculty Emeritus. He also worked with David Kazhdan and Pierre Deligne. Education Born 1955 in Kfar-Saba, raised in Ramat-Gan, Flicker studied Mathematics and Philosophy at Tel-Aviv University gaining a BA in 1973, then he studied Mathematics at the Hebrew University gaining an MA in 1974. After that he studied Part III of the Mathematical Tripos at DPMMS, Cambridge University in 1974-75, where he was awarded his PhD under the supervision of Fields Medalist Alan Baker in 1978. His dissertation was "Linear forms on Abe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grigory Margulis
Grigory Aleksandrovich Margulis (russian: Григо́рий Алекса́ндрович Маргу́лис, first name often given as Gregory, Grigori or Gregori; born February 24, 1946) is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978, a Wolf Prize in Mathematics in 2005, and an Abel Prize in 2020, becoming the fifth mathematician to receive the three prizes. In 1991, he joined the faculty of Yale University, where he is currently the Erastus L. De Forest Professor of Mathematics. Biography Margulis was born to a Russian family of Lithuanian Jewish descent in Moscow, Soviet Union. At age 16 in 1962 he won the silver medal at the International Mathematical Olympiad. He received his PhD in 1970 from the Moscow State University, starting research in ergodic theory under the supervision of Yakov Sinai. Early work ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Verma Module
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. Verma modules can be used in the classification of irreducible representations of a complex semisimple Lie algebra. Specifically, although Verma modules themselves are infinite dimensional, quotients of them can be used to construct finite-dimensional representations with highest weight \lambda, where \lambda is dominant and integral. Their homomorphisms correspond to invariant differential operators over flag manifolds. Informal construction We can explain the idea of a Verma module as follows. Let \mathfrak be a semisimple Lie algebra (over \mathbb, for simplicity). Let \mathfrak be a fixed Cartan subalgebra of \mathfrak and let R be the associated root system. Let R^+ be a fixed set of positive roots. For each \alpha\in R^+, choose a nonzero element X_\alpha for the corresponding root space \mathfrak_\alpha and a nonzero element Y_\alpha in the root ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George Lusztig
George Lusztig (born ''Gheorghe Lusztig''; May 20, 1946) is an American-Romanian mathematician and Abdun Nur Professor at the Massachusetts Institute of Technology (MIT). He was a Norbert Wiener Professor in the Department of Mathematics from 1999 to 2009. Education and career Born in Timișoara to a Hungarian-Jewish family, he did his undergraduate studies at the University of Bucharest, graduating in 1968. Later that year he left Romania for the United Kingdom, where he spent several months at the University of Warwick and Oxford University. In 1969 he moved to the United States, where he went to work for two years with Michael Atiyah at the Institute for Advanced Study in Princeton, New Jersey. He received his PhD in mathematics in 1971 after completing a doctoral dissertation, titled "Novikov's higher signature and families of elliptic operators", under the supervision of William Browder and Michael Atiyah. Lusztig worked for almost seven years at the University of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victor Kac
Victor Gershevich (Grigorievich) Kac (russian: link=no, Виктор Гершевич (Григорьевич) Кац; born 19 December 1943) is a Soviet and American mathematician at MIT, known for his work in representation theory. He co-discovered Kac–Moody algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite-dimensional simple Lie superalgebras, and found the Kac determinant formula for the Virasoro algebra. He is also known for the Kac–Weisfeiler conjectures with Boris Weisfeiler. Biography Kac studied mathematics at Moscow State University, receiving his MS in 1965 and his PhD in 1968. From 1968 to 1976, he held a teaching position at the Moscow Institute of Electronic Machine Building (MIEM). He left the Soviet Union in 1977, becoming an associate professor of mathematics at MIT. In 1981, he was promoted to full professor. Kac received a Sloan Fellowship and the Medal of the Collège de France, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Likud
Likud ( he, הַלִּיכּוּד, HaLikud, The Consolidation), officially known as Likud – National Liberal Movement, is a major centre-right to right-wing political party in Israel. It was founded in 1973 by Menachem Begin and Ariel Sharon in an alliance with several right-wing parties. Likud's landslide victory in the 1977 elections was a major turning point in the country's political history, marking the first time the left had lost power. In addition, it was the first time in Israel that a right-wing party won the plurality of the votes. After ruling the country for most of the 1980s, the party lost the Knesset election in 1992. Likud's candidate Benjamin Netanyahu won the vote for Prime Minister in 1996 and was given the task of forming a government after the 1996 elections. Netanyahu's government fell apart after a vote of no confidence, which led to elections being called in 1999 and Likud losing power to the One Israel coalition led by Ehud Barak. In 2001 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yisrael BaAliyah
Yisrael BaAliyah ( he, ישראל בעלייה, ; lit., ''Israel on the up'') was a political party in Israel between its formation in 1996 and its merger into Likud in 2003. It was formed to represent the interests of Russian immigrants by former refuseniks Natan Sharansky and Yuli-Yoel Edelstein. Initially a centrist party, it drifted to the right towards the end of its existence. History file:Natan Shernasky1.JPG, Natan Sharansky, 180px file:Yuli Edelstein.jpg, Yuli Edelstein, 180px The party was formed in 1996 by Sharansky, whose personal image as a dedicated and long-suffering idealist was intended to be the catalyst for an immigrant revolution in Israeli politics. "Yisrael BaAliyah" was chosen as the name for the party, both denoting its identification with immigration (aliyah being the Hebrew word for immigration to Israel), as well as the literal meaning of "Israel on the up". With another ex-Soviet dissident Yuli-Yoel Edelstein as a co-founder, they chose a slogan statin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natan Sharansky
Natan Sharansky ( he, נתן שרנסקי; russian: Ната́н Щара́нский; uk, Натан Щаранський, born Anatoly Borisovich Shcharansky on 20 January 1948); uk, Анатолій Борисович Щаранський, group="Note" is an Israeli politician, human rights activist and author who spent nine years in Soviet prisons as a refusenik during the 1970s and 1980s. He served as Chairman of the Executive for the Jewish Agency from June 2009 to August 2018. Sharansky currently serves as chairman for the Institute for the Study of Global Antisemitism and Policy (ISGAP), an American non-partisan organization. Biography Sharansky was born into a Jewish family on in the city of Stalino (now Donetsk) in the Ukrainian Soviet Socialist Republic of the Soviet Union. His father, Boris Shcharansky, a journalist from a Zionist background who worked for an industrial journal, died in 1980, before Natan was freed. His mother, Ida Milgrom, visited him in pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eli Kazhdan
Eli most commonly refers to: * Eli (name), a given name, nickname and surname * Eli (biblical figure) Eli or ELI may also refer to: Film * ''Eli'' (2015 film), a Tamil film * ''Eli'' (2019 film), an American horror film Music * ''Eli'' (Jan Akkerman album) (1976) * ''Eli'' (Supernaut album) (2006) Places * Alni, Ardabil Province, Iran, also known as Elī * Eli, Mateh Binyamin, an Israeli settlement in the West Bank * Éile or Éli, a medieval kingdom in Ireland * Eli, Kentucky, United States * Eli, Nebraska, United States * Eli, West Virginia, United States Other uses * ''Eli'' (opera), an opera by Walter Steffens * ELI (programming language) * Earth Learning Idea * English language institute * Environmental Law Institute, an American environmental law policy organization * European Law Institute * European Legislation Identifier * Extreme Light Infrastructure, a proposed high energy laser research facility of the European Union * Eli, someone from Yale University, afte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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