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Demazure
Michel Demazure (; born 2 March 1937) is a French mathematician. He made contributions in the fields of abstract algebra, algebraic geometry, and computer vision, and participated in the Nicolas Bourbaki collective. He has also been president of the French Mathematical Society and directed two French science museums. Biography In the 1960s, Demazure was a student of Alexandre Grothendieck, and, together with Grothendieck, he ran and edited the Séminaire de Géométrie Algébrique du Bois Marie on group schemes at the Institut des Hautes Études Scientifiques near Paris from 1962 to 1964. Demazure obtained his doctorate from the Université de Paris in 1965 under Grothendieck's supervision, with a dissertation entitled ''Schémas en groupes reductifs''. He was maître de conférence at Strasbourg University (1964–1966), and then university professor at Paris-Sud in Orsay (1966–1976)
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Séminaire De Géométrie Algébrique Du Bois Marie
In mathematics, the ''Séminaire de Géométrie Algébrique du Bois Marie'' (''SGA'') was an influential seminar run by Alexander Grothendieck. It was a unique phenomenon of research and publication outside of the main mathematical journals that ran from 1960 to 1969 at the IHÉS near Paris. (The name came from the small wood on the estate in Bures-sur-Yvette where the IHÉS was located from 1962.) The seminar notes were eventually published in twelve volumes, all except one in the Springer Lecture Notes in Mathematics series. Style The material has a reputation of being hard to read for a number of reasons. More elementary or foundational parts were relegated to the EGA series of Grothendieck and Jean Dieudonné, causing long strings of logical dependencies in the statements. The style is very abstract and makes heavy use of category theory. Moreover, an attempt was made to achieve maximally general statements, while assuming that the reader is aware of the motivations and conc ...
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Group Scheme
In mathematics, a group scheme is a type of object from Algebraic geometry, algebraic geometry equipped with a composition law. Group schemes arise naturally as symmetries of Scheme (mathematics), schemes, and they generalize algebraic groups, in the sense that all algebraic groups have group scheme structure, but group schemes are not necessarily connected, smooth, or defined over a field. This extra generality allows one to study richer infinitesimal structures, and this can help one to understand and answer questions of arithmetic significance. The Category (mathematics), category of group schemes is somewhat better behaved than that of Group variety, group varieties, since all homomorphisms have Kernel (category theory), kernels, and there is a well-behaved deformation theory. Group schemes that are not algebraic groups play a significant role in arithmetic geometry and algebraic topology, since they come up in contexts of Galois representations and moduli problems. The ini ...
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Nicolas Bourbaki
Nicolas Bourbaki () is the collective pseudonym of a group of mathematicians, predominantly French alumni of the École normale supérieure (Paris), École normale supérieure - PSL (ENS). Founded in 1934–1935, the Bourbaki group originally intended to prepare a new textbook in mathematical analysis, analysis. Over time the project became much more ambitious, growing into a large series of textbooks published under the Bourbaki name, meant to treat modern pure mathematics. The series is known collectively as the ''Éléments de mathématique'' (''Elements of Mathematics''), the group's central work. Topics treated in the series include set theory, abstract algebra, topology, analysis, Lie groups and Lie algebras. Bourbaki was founded in response to the effects of the First World War which caused the death of a generation of French mathematicians; as a result, young university instructors were forced to use dated texts. While teaching at the University of Strasbourg, Henri Carta ...
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Root Datum
In mathematical group theory, the root datum of a connected split reductive algebraic group over a field is a generalization of a root system that determines the group up to isomorphism. They were introduced by Michel Demazure in SGA III, published in 1970. Definition A root datum consists of a quadruple :(X^\ast, \Phi, X_\ast, \Phi^\vee), where * X^\ast and X_\ast are free abelian groups of finite rank together with a perfect pairing between them with values in \mathbb which we denote by ( , ) (in other words, each is identified with the dual of the other). * \Phi is a finite subset of X^\ast and \Phi^\vee is a finite subset of X_\ast and there is a bijection from \Phi onto \Phi^\vee, denoted by \alpha\mapsto\alpha^\vee. * For each \alpha, (\alpha, \alpha^\vee)=2. * For each \alpha, the map x\mapsto x-(x,\alpha^\vee)\alpha induces an automorphism of the root datum (in other words it maps \Phi to \Phi and the induced action on X_\ast maps \Phi^\vee to \Phi^\vee) The elements of \ ...
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Jean Audouze
Jean Audouze () is a French astrophysicist. He is a research director at CNRS and teaches at the Paris Institute of Political Science "Sciences Po". From 1993 to 1996 he was president of the Cité des Sciences et de l'Industrie in La Villette, and in 1998 he was named as director of the Palais de la Découverte, changing places with Michel Demazure who took Audouze's former position at La Villette.. Awarded the Kalinga Prize The Kalinga Prize for the Popularization of Science is an award given by UNESCO for exceptional skill in presenting scientific ideas to lay people. It was created in 1952, following a donation from Biju Patnaik, Founder President of the Kalinga ... in 2004. References Living people French astrophysicists École Normale Supérieure alumni French National Centre for Scientific Research scientists Year of birth missing (living people) Kalinga Prize recipients Research directors of the French National Centre for Scientific Research {{franc ...
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Neuilly-sur-Seine
Neuilly-sur-Seine (; literally 'Neuilly on Seine'), also known simply as Neuilly, is a commune in the department of Hauts-de-Seine in France, just west of Paris. Immediately adjacent to the city, the area is composed of mostly select residential neighbourhoods, as well as many corporate headquarters and a handful of foreign embassies. It is the wealthiest and most expensive suburb of Paris. Together with the 16th and 7th arrondissement of Paris, the town of Neuilly-sur-Seine forms the most affluent and prestigious residential area in the whole of France. It has the 2nd highest average household income in France, at €112,504 per year (in 2020). History Originally Pont de Neuilly was a small hamlet under the jurisdiction of Villiers, a larger settlement mentioned in medieval sources as early as 832 and now absorbed by the commune of Levallois-Perret. It was not until 1222 that the little settlement of Neuilly, established on the banks of the Seine, was mentioned for the first t ...
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Orsay
Orsay () is a Communes of France, commune in the Essonne Departments of France, department in Île-de-France in northern France. It is located in the southwestern suburbs of Paris, France, from the Kilometre Zero, centre of Paris. A fortified location of the Vallée de Chevreuse, Chevreuse valley since the 8th century and agricultural domain of wealthy and influential people, the development of Orsay is marked by the introduction of a Rail transport, railroad in the second half of the 18th century (today the RER B of which two stations are located in Orsay) and donations which allow the construction of a hospital still active to this day. Orsay is the main home to the Paris-Saclay University. The university significantly shapes Orsay's economy as it employs about 10,000 academic workers. The city's economy is also centered on high technology, with several companies drawn to the area by the Paris-Saclay's research and development infrastructure. Seat of the Orsay campus of Pa ...
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Palaiseau
Palaiseau () is a commune in the southern suburbs of Paris, France. It is located from the centre of Paris. Palaiseau is a sub-prefecture of the Essonne department and the seat of the Arrondissement of Palaiseau. Inhabitants of Palaiseau are known as ''Palaisiens''. Population Education , the primary schools in Palaiseau have 2,770 students. There are 12 public preschools (''maternelles'') and 10 public elementary schools.Les établissements scolaires maternels et élémentaires
" Palaiseau. Retrieved on September 6, 2016.
Public secondary schools:
" Pala ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ...
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Cité Des Sciences Et De L'Industrie
The Cité des Sciences et de l'Industrie ("City of Science and Industry", abbreviated la CSI) or simply CSI is the biggest science museum in Europe. Located in the Parc de la Villette in Paris, France, it is one of the three dozen French Cultural Centers of Science, Technology and Industry (CCSTI), promoting science and science culture. About five million people visit the Cité each year. Attractions include a planetarium, a submarine (the Argonaute), an IMAX theatre (La Géode) and special areas for children and teenagers. The CSI is classified as a public establishment of an industrial and commercial character, an establishment specialising in the fostering of scientific and technical culture. Created on the initiative of President Giscard d'Estaing, the goal of the Cité is to spread scientific and technical knowledge among the public, particularly for youth, and to promote public interest in science, research and industry. The most notable features of the "bioclimatic fac ...
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Palais De La Découverte
The Palais de la Découverte ("Discovery Palace") is a science museum located in the Grand Palais, in the 8th arrondissement on Avenue Franklin D. Roosevelt, Paris, France. It is open daily except Monday; an admission fee is charged. The museum was created in 1937 by Jean Baptiste Perrin (awarded the Nobel Prize in Physics, 1926) during an international exhibition on "Arts and techniques in modern life". In 1938 the French government decided to convert the facility into a new museum, which now occupies 25,000 square metres within the west wing of the Grand Palais (Palais d'Antin) built for the Exposition Universelle (1900) to designs by architect Albert-Félix-Théophile Thomas. In January 2010 the museum was merged with the Cité des Sciences et de l'Industrie under one institution is named universcience with two locations. Today the museum contains permanent exhibits for mathematics, physics, astronomy, chemistry, geology, and biology, featuring interactive experiments with ...
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Strasbourg University
The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers. The French university traces its history to the earlier German-language ''Universität Straßburg'', which was founded in 1538, and was divided in the 1970s into three separate institutions: Louis Pasteur University, Marc Bloch University, and Robert Schuman University. On 1 January 2009, the fusion of these three universities reconstituted a united University of Strasbourg. With as many as 19 Nobel laureates, and two Fields Medal winners, the university is ranked among the best in the League of European Research Universities. History The university emerged from a Lutheran humanist German Gymnasium, founded in 1538 by Johannes Sturm in the Free Imperial City of Strassburg. It was transformed to a university in 1621 (german: Universität Straßburg) and elevated to the ranks of a royal un ...
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