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Alain Connes
Alain Connes (; born 1 April 1947) is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry. He was a professor at the , , Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982. Career Alain Connes attended high school at in Marseille, and was then a student of the classes préparatoires in . Between 1966 and 1970 he studied at École normale supérieure in Paris, and in 1973 he obtained a PhD from Pierre and Marie Curie University, under the supervision of Jacques Dixmier. From 1970 to 1974 he was research fellow at the French National Centre for Scientific Research and during 1975 he held a visiting position at Queen's University at Kingston in Canada. In 1976 he returned to France and worked as professor at Pierre and Marie Curie University until 1980 and at CNRS between 1981 and 1984. Moreover, since 1979 he holds the Léon Motchane Chair at IHES. From 1984 until his retir ...
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Draguignan
Draguignan (; ) is a commune in the Var department in the administrative region of Provence-Alpes-Côte d'Azur (formerly Provence), southeastern France. It is a sub-prefecture of the department and self-proclaimed "capital of Artillery" and "''Porte du Verdon''". The city is from Saint-Tropez, and from Nice. Name and motto According to legend, the name of the city is derived from the Latin name "Draco/Draconem" (''dragon''): a bishop, called Saint Hermentaire, killed a dragon and saved people. The Latin motto of Draguignan is ''Alios nutrio, meos devoro'' (I nourish others, I devour my own). Geography The elevation is 200 m. The highest hill near Draguignan is Malmont (551 m). The main river near Draguignan is the Nartuby. The city is set in a valley NW-SE, about wide. Climate Draguignan's climate is the same as the normal conditions of the Mediterranean climate. The nights of frost are rare and the negative temperatures occur only a few days ...
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CNRS Silver Medal
The CNRS Silver Medal is a scientific award given every year to about fifteen researchers by the French National Centre for Scientific Research (CNRS). It is awarded to a researcher for "the originality, quality and importance of their work, recognised on a national and international level". It is part of the "CNRS Talents" medals, along with the CNRS Gold Medal, CNRS gold medal, which rewards a whole scientific career, the CNRS bronze medal, which rewards young researchers, the Innovation medal, which honours remarkable work in the technological, therapeutic, economic or societal fields, and the CNRS Crystal medal, which rewards research support staff. Notable recipients * Gabriel Peyré (mathematics) (2021) * Marie-Hélène Verlhac (biology) (2021) * Claire Mathieu (computer science) (2019) * Margaret Maruani (sociology) (2014) * Marie-Françoise André (2011) * Anca Muscholl (mathematics) (2010) * Edith Heard (biology) (2008) * Marc Fontecave (2004) * Leanne Pitchford (ph ...
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École Normale Supérieure (Paris)
The – PSL (; also known as ENS, , Ulm or ENS Paris) is a ''grande école'' in Paris, France. It is one of the constituent members of Paris Sciences et Lettres University (PSL). Due to its selectivity, historical role, and influence within French society, the ENS is generally considered the most prestigious of the ''grande école, grandes écoles,'' as well as one of the most prestigious higher education institutions in France. Its pupils are generally referred to as ''normaliens'', while its alumni are sometimes referred to as List of École normale supérieure people, ''archicubes''. The school was founded in 1794 during the French Revolution, to provide homogeneous training of high-school teachers in France, but it later closed. The school was subsequently reestablished by Napoleon I as ''pensionnat normal'' from 1808 to 1822, before being recreated in 1826 and taking the name École normale in 1830. When other institutes called ''écoles normales'' were created in 1845, t ...
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Classe Préparatoire Aux Grandes écoles
The ''Classes préparatoires aux grandes écoles'' (, ''Higher school preparatory classes'', abbr. CPGE), commonly called ''classes prépas'' or ''prépas'', are part of the French post-secondary education system. They consist of two years of study (extendable to three or exceptionally four years) which act as an intensive preparatory course (or cram school) with the main goal of training students for enrolment in one of the ''grandes écoles''. Whereas enrollment in public universities in France is open to any school leaver with an adequate ''baccalauréat'', enrollment in the ''grandes écoles'' is restricted to the highest-ranked students in a separate national competitive examination. Preparation for this examination entails one of the highest student workloads in Europe (29 to 45 contact hours a week, with up to 10 hours of guided tutorials and oral exam sessions). The ''grandes écoles'' are higher education establishments (graduate schools) delivering master's degrees an ...
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European Mathematical Society
The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current president is Jan Philip Solovej, professor at the Department of Mathematics at the University of Copenhagen. Goals The Society seeks to serve all kinds of mathematicians in universities, research institutes and other forms of higher education. Its aims are to #Promote mathematical research, both pure and applied, #Assist and advise on problems of mathematical education, #Concern itself with the broader relations of mathematics to society, #Foster interaction between mathematicians of different countries, #Establish a sense of identity amongst European mathematicians, #Represent the mathematical community in supra-national institutions. The EMS is itself an Affiliate Member of the International Mathematical Union and an Associate Member ...
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Celebratio Mathematica
Mathematical Sciences Publishers is a nonprofit publishing company run by and for mathematicians. It publishes several journals and the book series ''Geometry & Topology Monographs''. It is run from a central office in the Department of Mathematics at the University of California, Berkeley. Journals owned and published * '' Algebra & Number Theory'' * '' Algebraic & Geometric Topology'' * ''Analysis & PDE'' * ''Annals of K-Theory'' * ''Communications in Applied Mathematics and Computational Science'' * ''Geometry & Topology'' * ''Innovations in Incidence Geometry—Algebraic, Topological and Combinatorial'' * ''Involve: A Journal of Mathematics'' * ''Journal of Algebraic Statistics'' * '' Journal of Mechanics of Materials and Structures'' * ''Journal of Software for Algebra and Geometry'' * ''Mathematics and Mechanics of Complex Systems'' * ''Moscow Journal of Combinatorics and Number Theory'' * ''Pacific Journal of Mathematics'' * ''Probability and Mathematical Physics'' * '' ...
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Institut Des Hautes Études Scientifiques
The Institut des hautes études scientifiques (IHÉS; English: Institute of Advanced Scientific Studies) is a French research institute supporting advanced research in mathematics and theoretical physics (also with a small theoretical biology group). It is located in Bures-sur-Yvette, just south of Paris. It is an independently governed research institute and a founding member of the University of Paris-Saclay. History The IHÉS was founded in 1958 by businessman and mathematical physicist Léon Motchane with the help of Robert Oppenheimer and Jean Dieudonné as a research centre in France, modeled on the renowned Institute for Advanced Study in Princeton, United States. The strong personality of Alexander Grothendieck and the broad sweep of his revolutionizing theories were a dominating feature of the first ten years at the IHÉS. René Thom received an invitation from IHÉS in 1963 and after his appointment remained there until his death in 2002. Dennis Sullivan is rememb ...
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Noncommutative Geometry
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions, possibly in some generalized sense. A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which xy does not always equal yx; or more generally an algebraic structure in which one of the principal binary operations is not commutative; one also allows additional structures, e.g. topology or norm, to be possibly carried by the noncommutative algebra of functions. An approach giving deep insight about noncommutative spaces is through operator algebras, that is, algebras of bounded linear operators on a Hilbert space. Perhaps one of the typical examples of a noncommutative space is the " noncommutative torus", which played a key role in the early development of this field in 1980s and lead to noncomm ...
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Operator Algebra
In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study of operator algebras are often phrased in algebraic terms, while the techniques used are often highly analytic.''Theory of Operator Algebras I'' By Masamichi Takesaki, Springer 2012, p vi Although the study of operator algebras is usually classified as a branch of functional analysis, it has direct applications to representation theory, differential geometry, quantum statistical mechanics, quantum information, and quantum field theory. Overview Operator algebras can be used to study arbitrary sets of operators with little algebraic relation ''simultaneously''. From this point of view, operator algebras can be regarded as a generalization of spectral theory of a single operator. In general, operator algebras are non-commutative ring ...
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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 following a donation to the Royal Swedish Academy of Sciences. It is awarded jointly by the Academy and the Crafoord Foundation in Lund, with the former selecting the laureates. The Prize is awarded in four categories: mathematics and astronomy, Geology, geosciences, Biology, biosciences (with an emphasis on ecology) and polyarthritis, the final one because Holger suffered from severe rheumatoid arthritis in his later years. The disciplines for which the Crafoord Prize is awarded are chosen so as to complement the Nobel Prizes. Only one award is given each year, according to a rotating scheme – astronomy and mathematics, then geosciences, then biosciences. Since 2012, the prizes in astronomy and mathematics are separate and awarded at the same time; prior to this, the disciplines alternated every cycle. A Crafoord Prize in polyarth ...
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