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Yves Benoist
Yves Benoist is a French mathematician, known for his work on group dynamics on homogeneous spaces. He is currently a Senior Researcher (Directeur de Recherche) of CNRS at the University of Paris-Sud. In 1990 Benoist proved a longstanding open conjecture with Patrick Foulon and François Labourie about Anosov flows on compact, negatively curved manifolds. In the 2000s he wrote a series of papers on the divisible convex sets in projective space and periodic tilings by such sets. In 2011 he was awarded the Clay Research Award along with his former doctoral student, Jean-François Quint. The prize citation highlighted their work on stationary measures and closed orbits for non-abelian group actions on homogeneous spaces, solving a long-standing conjecture of Hillel Furstenberg. They showed that in homogeneous spaces of finite volume, orbits of a Zariski dense subgroup of a semisimple group equidistribute towards algebraic measures. He gave the 2012 Takagi Lectures in Kyoto at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yves Benoist
Yves Benoist is a French mathematician, known for his work on group dynamics on homogeneous spaces. He is currently a Senior Researcher (Directeur de Recherche) of CNRS at the University of Paris-Sud. In 1990 Benoist proved a longstanding open conjecture with Patrick Foulon and François Labourie about Anosov flows on compact, negatively curved manifolds. In the 2000s he wrote a series of papers on the divisible convex sets in projective space and periodic tilings by such sets. In 2011 he was awarded the Clay Research Award along with his former doctoral student, Jean-François Quint. The prize citation highlighted their work on stationary measures and closed orbits for non-abelian group actions on homogeneous spaces, solving a long-standing conjecture of Hillel Furstenberg. They showed that in homogeneous spaces of finite volume, orbits of a Zariski dense subgroup of a semisimple group equidistribute towards algebraic measures. He gave the 2012 Takagi Lectures in Kyoto at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homogeneous Spaces
In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group ''G'' is a non-empty manifold or topological space ''X'' on which ''G'' acts transitively. The elements of ''G'' are called the symmetries of ''X''. A special case of this is when the group ''G'' in question is the automorphism group of the space ''X'' – here "automorphism group" can mean isometry group, diffeomorphism group, or homeomorphism group. In this case, ''X'' is homogeneous if intuitively ''X'' looks locally the same at each point, either in the sense of isometry (rigid geometry), diffeomorphism (differential geometry), or homeomorphism (topology). Some authors insist that the action of ''G'' be faithful (non-identity elements act non-trivially), although the present article does not. Thus there is a group action of ''G'' on ''X'' which can be thought of as preserving some "geometric structure" on ''X'', and making ''X'' into a single ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
CNRS
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 engineers and technical staff, and 7,085 contractual workers. It is headquartered in Paris and has administrative offices in Brussels, Beijing, Tokyo, Singapore, Washington, D.C., Bonn, Moscow, Tunis, Johannesburg, Santiago de Chile, Israel, and New Delhi. From 2009 to 2016, the CNRS was ranked No. 1 worldwide by the SCImago Institutions Rankings (SIR), an international ranking of research-focused institutions, including universities, national research centers, and companies such as Facebook or Google. The CNRS ranked No. 2 between 2017 and 2021, then No. 3 in 2022 in the same SIR, after the Chinese Academy of Sciences and before universities such as Harvard University, MIT, or Stanford ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Paris-Sud
Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, including Orsay, Cachan, Châtenay-Malabry, Sceaux, and Kremlin-Bicêtre campuses. The main campus was located in Orsay. Starting from 2020, University Paris Sud has been replaced by the University of Paris-Saclay in The League of European Research Universities (LERU). Paris-Sud was one of the largest and most prestigious universities in France, particularly in science and mathematics. The university was ranked 1st in France, 9th in Europe and 37th worldwide by 2019 Academic Ranking of World Universities (ARWU) in particular it was ranked as 1st in Europe for physics and 2nd in Europe for mathematics. Five Fields Medalists and two Nobel Prize Winners have been affiliated to the university. On 16 January 2019, Alain Sarfati was electe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Patrick Foulon
Patrick may refer to: *Patrick (given name), list of people and fictional characters with this name *Patrick (surname), list of people with this name People *Saint Patrick (c. 385–c. 461), Christian saint * Gilla Pátraic (died 1084), Patrick or Patricius, Bishop of Dublin *Patrick, 1st Earl of Salisbury (c. 1122–1168), Anglo-Norman nobleman *Patrick (footballer, born 1983), Brazilian right-back *Patrick (footballer, born 1985), Brazilian striker *Patrick (footballer, born 1992), Brazilian midfielder *Patrick (footballer, born 1994), Brazilian right-back *Patrick (footballer, born May 1998), Brazilian forward *Patrick (footballer, born November 1998), Brazilian attacking midfielder *Patrick (footballer, born 1999), Brazilian defender *Patrick (footballer, born 2000), Brazilian defender *John Byrne (Scottish playwright) (born 1940), also a painter under the pseudonym Patrick *Don Harris (wrestler) (born 1960), American professional wrestler who uses the ring name Patrick Film * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
François Labourie
François Labourie (born 15 December 1960) is a French mathematician who has made various contributions to geometry, including pseudoholomorphic curves, Anosov diffeomorphism, and convex geometry. In a series of papers with Yves Benoist and Patrick Foulon, he solved a conjecture on Anosov's flows in compact contact manifolds. He was educated at the École Normale Supérieure and Paris Diderot University, where he earned his Ph.D. under supervision of Mikhail Gromov. In 1992 he was awarded one of the inaugural prizes of the European Mathematical Society. In 1998 he was an Invited Speaker of the International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ... in Berlin. References External links *Curriculum Vitae 1960 births Living people École ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Clay Research Award
__NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class="wikitable sortable" , - ! Year !! Winner !! Citation , - , 2022 , , Søren Galatius and Oscar Randal-Williams John Pardon , , "for their profound contributions to the understanding of high dimensional manifolds and their diffeomorphism groups; they have transformed and reinvigorated the subject." "in recognition of his wide-ranging and transformative work in geometry and topology, particularly his groundbreaking achievements in symplectic topology." , - , 2021 , , Bhargav Bhatt , , "For his groundbreaking achievements in commutative algebra, arithmetic algebraic geometry, and topology in the p-adic setting." , - , 2020 , , not awarded , - , 2019 , , Wei Zhang Tristan Buckmaster, Philip Isett and Vlad Vicol , , "In recog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean-François Quint
Jean-François Quint is a French mathematician, specializing in dynamical systems theory for homogeneous spaces. He studied at the École normale supérieure de Lyon and then received his Ph.D. from École Normale Supérieure (ENS) in Paris under Yves Benoist with Thèse de Doctorat: ''Sous-groupes discrets des groupes de Lie semi-simples réels et p-adiques''. In 2002 he joined the faculty of the ''Institut Camille Jordan'' as ''Chargé de recherche'' of the '' Centre national de la recherche scientifique'' (CNRS). In 2005 he joined the staff working on "Ergodic theory and dynamics systems" of ''Laboratoire Analyse, Géométrie et Applications'' (LAGA) at the ''Institut Galilée'' of the University of Paris 13. Since 2012 he has worked as CNRS ''Directeur de recherche'' at the University of Bordeaux. In 2011, Yves Benoist and Jean-François Quint received the Clay Research Award for their collaborative research (and Jonathan Pila Jonathan Solomon Pila (born 1962) FRS O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hillel Furstenberg
Hillel (Harry) Furstenberg ( he, הלל (הארי) פורסטנברג) (born September 29, 1935) is a German-born American-Israeli mathematician and professor emeritus at the Hebrew University of Jerusalem. He is a member of the Israel Academy of Sciences and Humanities and U.S. National Academy of Sciences and a laureate of the Abel Prize and the Wolf Prize in Mathematics. He is known for his application of probability theory and ergodic theory methods to other areas of mathematics, including number theory and Lie groups. Biography Furstenberg was born to German Jews in Nazi Germany, in 1935 (originally named "Fürstenberg"). In 1939, shortly after Kristallnacht, his family escaped to the United States and settled in the Washington Heights neighborhood of New York City, escaping the Holocaust. He attended Marsha Stern Talmudical Academy and then Yeshiva University, where he concluded his BA and MSc studies at the age of 20 in 1955. Furstenberg published several papers as an u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Research Institute For Mathematical Sciences
The is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. RIMS was founded in April 1963. List of directors * Masuo Fukuhara (1963.5.1 – 1969.3.31) * Kōsaku Yosida (1969.4.1 – 1972.3.31) * Hisaaki Yoshizawa (1972.4.1 – 1976.3.31) * Kiyoshi Itō (1976.4.1 – 1979.4.1) * Nobuo Shimada (1979.4.2 – 1983.4.1) * Heisuke Hironaka (1983.4.2 – 1985.1.30) * Nobuo Shimada (1985.1.31 – 1987.1.30) * Mikio Sato (1987.1.31 – 1991.1.30) * Satoru Takasu (1991.1.31 – 1993.1.30) * Huzihiro Araki (1993.1.31 – 1996.3.31) * Kyōji Saitō (1996.4.1 – 1998.3.31) * Masatake Mori (1998.4.1 – 2001.3.31) * Masaki Kashiwara (2001.4.1 – 2003.3.31) * Yōichirō Takahashi (2003.4.1 – 2007.3.31) * Masaki Kashiwara (2007.4.1 – 2009.3.31) * Shigeru Morishige (2009.4.1 – 2011.3.31) * Shigefumi Mori (2011.4.1 – 2014.3.31) * Shigeru Mukai (2014.4.1 – 2017.3.31) * Michio Yamada (2017.4.1 – present) Not ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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