Yvonne Bruhat
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Yvonne Bruhat
Yvonne Choquet-Bruhat (; 29 December 1923 – 11 February 2025) was a French mathematician and physicist. She made seminal contributions to the study of general relativity, by showing that the Einstein field equations can be put into the form of an initial value problem which is well-posed. In 2015, her breakthrough paper was listed by the journal ''Classical and Quantum Gravity'' as one of thirteen 'milestone' results in the study of general relativity, across the hundred years in which it had been studied. Choquet-Bruhat was the first woman to be elected to the French Academy of Sciences and was a Grand Officer of the Legion of Honour. Early life Yvonne Bruhat was born in Lille on 29 December 1923. Her mother was the philosophy professor Berthe Hubert and her father was the physicist Georges Bruhat, who died in 1945 in the concentration camp Oranienburg-Sachsenhausen. Her brother François Bruhat also became a mathematician, making notable contributions to the study of algeb ...
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Lille
Lille (, ; ; ; ; ) is a city in the northern part of France, within French Flanders. Positioned along the Deûle river, near France's border with Belgium, it is the capital of the Hauts-de-France Regions of France, region, the Prefectures in France, prefecture of the Nord (French department), Nord Departments of France, department, and the main city of the Métropole Européenne de Lille, European Metropolis of Lille. The city of Lille proper had a population of 236,234 in 2020 within its small municipal territory of , but together with its French suburbs and exurbs the Lille metropolitan area (French part only), which extends over , had a population of 1,515,061 that same year (January 2020 census), the fourth most populated in France after Paris, Lyon, and Marseille. The city of Lille and 94 suburban French municipalities have formed since 2015 the Métropole Européenne de Lille, European Metropolis of Lille, an Indirect election, indirectly elected Métropole, metropolitan ...
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Initial Value Problem
In multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem. In that context, the differential initial value is an equation which specifies how the system evolves with time given the initial conditions of the problem. Definition An initial value problem is a differential equation :y'(t) = f(t, y(t)) with f\colon \Omega \subset \mathbb \times \mathbb^n \to \mathbb^n where \Omega is an open set of \mathbb \times \mathbb^n, together with a point in the domain of f :(t_0, y_0) \in \Omega, called the initial condition. A solution to an initial value problem is a function y that is a solution to the differential equation and satisfies :y(t_0) = y_0. In higher dimensions, the differential equation is replaced with a family of eq ...
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Princeton, New Jersey
The Municipality of Princeton is a Borough (New Jersey), borough in Mercer County, New Jersey, United States. It was established on January 1, 2013, through the consolidation of the Borough of Princeton, New Jersey, Borough of Princeton and Princeton Township, New Jersey, Princeton Township, both of which are now defunct. As of the 2020 United States census, the borough's population was 30,681, an increase of 2,109 (+7.4%) from the 2010 United States census, 2010 census combined count of 28,572. In the 2000 United States census, 2000 census, the two communities had a total population of 30,230, with 14,203 residents in the borough and 16,027 in the township. Princeton was founded before the American Revolutionary War. The borough is the home of Princeton University, one of the world's most acclaimed research universities, which bears its name and moved to the community in 1756 from the educational institution's previous location in Newark, New Jersey, Newark. Although its associ ...
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Institute For Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Einstein, J. Robert Oppenheimer, Emmy Noether, Hermann Weyl, John von Neumann, Michael Walzer, Clifford Geertz and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research ...
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Postdoctoral Researcher
A postdoctoral fellow, postdoctoral researcher, or simply postdoc, is a person professionally conducting research after the completion of their doctoral studies (typically a PhD). Postdocs most commonly, but not always, have a temporary academic appointment, sometimes in preparation for an academic faculty position. According to data from the US National Science Foundation, the number of holders of PhD in biological sciences who end up in tenure track has consistently dropped from over 50% in 1973 to less than 20% in 2006. They continue their studies or carry out research and further increase expertise in a specialist subject, including integrating a team and acquiring novel skills and research methods. Postdoctoral research is often considered essential while advancing the scholarly mission of the host institution; it is expected to produce relevant publications in peer-reviewed academic journals or conferences. In some countries, postdoctoral research may lead to further for ...
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Concours Général
In France, the Concours Général (), created in 1747, is the most prestigious academic competition held every year between students of ''Première'' (11th grade) and ''Terminale'' (12th and final grade) in almost all subjects taught in both general, technological and professional high schools. Exams usually take place in March, and their results are known in June or July. Students who show great ability in one field are selected to participate by their teachers and their school principal. Most of the time, no more than one student per high school is allowed to participate in the competition, which requires strong knowledge of college level topics (Some "elite" high schools sometimes depart from this rule, presenting dozens of students, such as the Lycée Louis-Le-Grand, the Lycée Saint-Louis de Gonzague or the Lycée Henri IV in Paris). In the humanities and social sciences, the exams involve one or more essays and last 6 hours. In the sciences, the exams last almost as long an ...
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Baccalauréat
The ''baccalauréat'' (; ), often known in France colloquially as the ''bac'', is a French national academic qualification that students can obtain at the completion of their secondary education (at the end of the ''lycée'') by meeting certain requirements. Though it has only existed in its present form as a school-leaving examination since Emperor Napoleon Bonaparte's implementation on March 17, 1808, its origins date back to the first medieval French universities. According to French law, the baccalaureate is the first academic degree, though it grants the completion of secondary education. Historically, the baccalaureate is administratively supervised by full professors at universities. Similar academic qualifications exist elsewhere in Europe, variously known as ''Abitur'' in Germany, '' maturità'' in Italy, '' bachillerato'' in Spain, '' maturita'' in Slovakia and Czech Republic. There is also the European Baccalaureate, which students take at the end of the European Sc ...
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Algebraic Group
In mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. Many groups of geometric transformations are algebraic groups, including orthogonal groups, general linear groups, projective groups, Euclidean groups, etc. Many matrix groups are also algebraic. Other algebraic groups occur naturally in algebraic geometry, such as elliptic curves and Jacobian varieties. An important class of algebraic groups is given by the affine algebraic groups, those whose underlying algebraic variety is an affine variety; they are exactly the algebraic subgroups of the general linear group, and are therefore also called ''linear algebraic groups''. Another class is formed by the abelian varieties, which are the algebraic groups whose underlying variety is a projective variety. Chevalley's structure theorem states ...
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François Bruhat
François Georges René Bruhat (; 8 April 1929 – 17 July 2007) was a French mathematician who worked on algebraic groups. The Bruhat order of a Weyl group, the Bruhat decomposition, and the Schwartz–Bruhat functions are named after him. He was the son of physicist (and associate director of the École Normale Supérieure École or Ecole may refer to: * an elementary school in the French educational stages normally followed by Secondary education in France, secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing i ... during the occupation) Georges Bruhat, and brother of physicist Yvonne Choquet-Bruhat. See also * Hadamard space References * 1929 births 2007 deaths École Normale Supérieure alumni Members of the French Academy of Sciences Nicolas Bourbaki 20th-century French mathematicians 21st-century French mathematicians Bruhat family Scientists from Paris {{France-mathematician-stub ...
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Oranienburg-Sachsenhausen
Sachsenhausen () or Sachsenhausen-Oranienburg was a German Nazi concentration camp in Oranienburg, Germany, used from 1936 until April 1945, shortly before the defeat of Nazi Germany in May later that year. It mainly held political prisoners throughout World War II. Prominent prisoners included Joseph Stalin's oldest son, Yakov Dzhugashvili; assassin Herschel Grynszpan; Paul Reynaud, the penultimate prime minister of the French Third Republic; Francisco Largo Caballero, prime minister of the Second Spanish Republic during the Spanish Civil War; the wife and children of the crown prince of Bavaria; Ukrainian nationalist leader Stepan Bandera; and several enemy soldiers and political dissidents. Sachsenhausen was a labour camp, outfitted with several subcamps, a gas chamber, and a medical experimentation area. Prisoners were treated inhumanely, fed inadequately, and killed openly. After World War II, when Oranienburg was in the Soviet Occupation Zone, the structure was used by t ...
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