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Alain Connes
Alain Connes (; born 1 April 1947) is a French mathematician, and a theoretical physicist, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the , , Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982. Career Source: Academic career timeline: (1966–1970) – Bachelor's degree from the École Normale Supérieure (now part of Paris Sciences et Lettres University). (1973) – doctorate from Pierre and Marie Curie University, Paris, France (1970–1974) – appointment at the French National Centre for Scientific Research, Paris (1975) – Queen's University at Kingston, Ontario, Canada (1976–1980) – the University of Paris VI (1979 – present) – the Institute of Advanced Scientific Studies, Bures-sur-Yvette, France (1981–1984) – the French National Centre for Scientific Research, Paris (1984–2017) – the , Paris (2003–2011) – Vanderbilt University, Na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Draguignan
Draguignan (; oc, Draguinhan) 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prize Ampère
A prize is an award to be given to a person or a group of people (such as sporting teams and organizations) to recognize and reward their actions and achievements.Prize definition 1, The Free Dictionary, Farlex, Inc. Retrieved August 7, 2009. Official prizes often involve money, monetary rewards as well as the fame that comes with them. Some prizes are also associated with extravagant awarding ceremonies, such as the Academy Awards. Prizes are also given to publicize noteworthy or exemplary behaviour, and to provide incentives for improved outcomes and competitive efforts. In general, prizes are regarded in a positive light, and their winners are admired. However, many prizes, especially the more famous ones, have often caused controversy and jealousy. Specific types of prizes include: * Booby prize: typically awarded as a joke or ins ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Neumann Algebra
In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra. Von Neumann algebras were originally introduced by John von Neumann, motivated by his study of single operators, group representations, ergodic theory and quantum mechanics. His double commutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. Two basic examples of von Neumann algebras are as follows: *The ring L^\infty(\mathbb R) of essentially bounded measurable functions on the real line is a commutative von Neumann algebra, whose elements act as multiplication operators by pointwise multiplication on the Hilbert space L^2(\mathbb R) of square-integrable functions. *The algebra \mathcal B(\mathcal H) of all bounded operators on a Hilbert space \mathcal H is a von Neumann algebr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conservatoire National Des Arts Et Métiers
A music school is an educational institution specialized in the study, training, and research of music. Such an institution can also be known as a school of music, music academy, music faculty, college of music, music department (of a larger institution), conservatory, conservatorium or conservatoire ( , ). Instruction consists of training in the performance of musical instruments, singing, musical composition, conducting, musicianship, as well as academic and research fields such as musicology, music history and music theory. Music instruction can be provided within the compulsory general education system, or within specialized children's music schools such as the Purcell School. Elementary-school children can access music instruction also in after-school institutions such as music academies or music schools. In Venezuela El Sistema of youth orchestras provides free after-school instrumental instruction through music schools called ''núcleos''. The term "music school" can a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bures-sur-Yvette
Bures-sur-Yvette (, literally ''Bures on Yvette'') is a commune in the Essonne department in Île-de-France in northern France. Geography Bures-sur-Yvette is located in the Vallée de Chevreuse on the river Yvette, along which the RER line B is laid. The stations on the line serving the commune are Bures-sur-Yvette and La Hacquinière. Adjacent communes are Orsay, Gif-sur-Yvette, Gometz-le-Châtel, and Les Ulis. The small town is also twinned with Crewkerne UK. Population Inhabitants of Bures-sur-Yvette are known as ''Buressois'' in French. Research Bures-sur-Yvette hosts the greater part of the Orsay campus of the University of Paris-Sud (Paris XI), as well as the Institut des Hautes Études Scientifiques (IHÉS). See also *Communes of the Essonne department The following is a list of the 194 communes of the Essonne department of France. The communes cooperate in the following intercommunalities (as of 2020): [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Queen's University At Kingston
Queen's University at Kingston, commonly known as Queen's University or simply Queen's, is a public research university in Kingston, Ontario, Canada. Queen's holds more than of land throughout Ontario and owns Herstmonceux Castle in East Sussex, England. Queen's is organized into eight faculties and schools. The Church of Scotland established Queen's College in October 1841 via a royal charter from Queen Victoria. The first classes, intended to prepare students for the ministry, were held 7 March 1842 with 13 students and two professors. In 1869, Queen's was the first Canadian university west of the Maritime provinces to admit women. In 1883, a women's college for medical education affiliated with Queen's University was established after male staff and students reacted with hostility to the admission of women to the university's medical classes. In 1912, Queen's ended its affiliation with the Presbyterian Church, and adopted its present name. During the mid-20th century, the u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French National Centre For Scientific Research
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] |
Paris Sciences Et Lettres University
Paris Sciences et Lettres University (PSL University or simply PSL) is a public research university based in Paris, France. It was established in 2010 and formally created as a university in 2019. It is a collegiate university with 11 constituent schools, with the oldest founded in 1530. PSL is located in central Paris, with its main sites in the Latin Quarter, at the Montagne Sainte-Geneviève campus, at the Jourdan campus, at Porte Dauphine in northern Paris, and at Carré Richelieu. PSL awards Bachelor's, Master's, and PhD diplomas for its constituent schools and institutes. It offers an education based on research and interdisciplinary instruction, and its students have access to a broad range of disciplines in science, engineering, humanities, social sciences, fine art and performing arts. In 2022, PSL University was globally ranked 26th by the QS World University Rankings, 38th by the Academic Ranking of World Universities, and 40th by the Times Higher Education World ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. It is located in Bures-sur-Yvette, just south of Paris. It is an independent research institute in a partnership with 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 remembered as one who had a special talent for encouraging fruitf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 (i.e. algebras of bounded linear operators on a Hilbert space). Perhaps one of the typical examples of a noncommutative space is the " noncommutative tori", which played a key role in the early development of this field in 1980s and lead to noncommutativ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 phrased in algebraic terms, while the techniques used are 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 rings. An operator alge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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