Marie-Hélène Schwartz

	Marie-Hélène Schwartz Marie-Hélène Schwartz (1913 – 5 January 2013) was a French mathematician, known for her work on characteristic numbers of spaces with singularities... Education and career Born Marie-Hélène Lévy, she was the daughter of mathematician Paul Lévy and the great-granddaughter of philologist Henri Weil. After studying at the Lycée Janson-de-Sailly, she began studies at the École Normale Supérieure in 1934, but contracted tuberculosis which forced her to drop out. She married another Jewish mathematician, Laurent Schwartz, in 1938, and soon went into hiding while the Nazis occupied France. After the war, she taught at the University of Reims Champagne-Ardenne and finished a thesis on generalizations of the Gauss–Bonnet formula in 1953. In 1964, she moved to the University of Lille The University of Lille (french: Université de Lille, abbreviated as ULille, UDL or univ-lille) is a French public research university based in Lille, Hauts-de-France. It has its origins in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Characteristic Class In mathematics, a characteristic class is a way of associating to each principal bundle of ''X'' a cohomology class of ''X''. The cohomology class measures the extent the bundle is "twisted" and whether it possesses sections. Characteristic classes are global invariants that measure the deviation of a local product structure from a global product structure. They are one of the unifying geometric concepts in algebraic topology, differential geometry, and algebraic geometry. The notion of characteristic class arose in 1935 in the work of Eduard Stiefel and Hassler Whitney about vector fields on manifolds. Definition Let ''G'' be a topological group, and for a topological space X, write b_G(X) for the set of isomorphism classes of principal ''G''-bundles over X. This b_G is a contravariant functor from Top (the category of topological spaces and continuous functions) to Set (the category of sets and functions), sending a map f\colon X\to Y to the pullback operation f^\colon b_G(Y) ... [...More Info...] [...Related Items...] OR:* [Wikipedia] [Google] [Baidu]
picture info	Singularity Theory In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold, if one neglects its thickness. A singularity can be made by balling it up, dropping it on the floor, and flattening it. In some places the flat string will cross itself in an approximate "X" shape. The points on the floor where it does this are one kind of singularity, the double point: one bit of the floor corresponds to more than one bit of string. Perhaps the string will also touch itself without crossing, like an underlined "U". This is another kind of singularity. Unlike the double point, it is not ''stable'', in the sense that a small push will lift the bottom of the "U" away from the "underline". Vladimir Arnold defines the main goal of singularity theory as describing how objects depend on parameters, particularly in cases where the properties undergo sudden change under a small variation of the parameters. These ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Paul Lévy (mathematician) Paul Pierre Lévy (15 September 1886 – 15 December 1971) was a French mathematician who was active especially in probability theory, introducing fundamental concepts such as local time, stable distributions and characteristic functions. Lévy processes, Lévy flights, Lévy measures, Lévy's constant, the Lévy distribution, the Lévy area, the Lévy arcsine law, and the fractal Lévy C curve are named after him. Biography Lévy was born in Paris to a Jewish family which already included several mathematicians. His father Lucien Lévy was an examiner at the École Polytechnique. Lévy attended the École Polytechnique and published his first paper in 1905, at the age of nineteen, while still an undergraduate, in which he introduced the Lévy–Steinitz theorem. His teacher and advisor was Jacques Hadamard. After graduation, he spent a year in military service and then studied for three years at the École des Mines, where he became a professor in 1913. During Worl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Henri Weil Henri Weil (August 27, 1818 – November 5, 1909) was a French philologist. Biography Born to a Jewish family in Frankfurt, he was educated at the universities of Bonn, Berlin, and Leipzig. He went to France, and continued his studies at Paris, graduating as Docteur ès lettres in 1845, and becoming "agrégé" in 1848. Appointed professor of ancient literature at the University of Besançon, he was in 1872 elected dean of the faculty. In 1876 he was called to Paris to fill a vacancy as instructor at the École Normale Supérieure and to assume charge of the École Pratique des Hautes Études, both of which positions he resigned in 1891. In 1866 he was elected corresponding member of the Académie des Inscriptions et Belles-Lettres, becoming full member in 1882 as the successor of Édouard Dulaurier. In 1887 he received the cross of the Legion of Honor. He died in Paris. Weil edited the poems of Aeschylus, eight tragedies of Euripides, and the orations of Demosthenes Demost ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Lycée Janson-de-Sailly Lycée Janson de Sailly is a ''lycée'' located in the 16th arrondissement of Paris, France. The ''lycéens'' of Janson are called ''les jansoniens'' and they usually refer to their high school as Janson, or JdS. It is the biggest academic institution in the region: 3,200 boys and girls from 11 to 20 attend classes ranging from junior high school to '' Classes Préparatoires''. History Monsieur Janson de Sailly was a wealthy Parisian lawyer, who found out that his wife had a lover. Therefore, he decided to disinherit her and to bequeath all of his fortune to the State, under the condition that it be used to establish a modern high school that would offer an excellent education and in which no women would be allowed. The ''lycée'' was built in the 1880s. Victor Hugo who lived nearby made a speech for the inauguration. A decade later it was opened to girls as well. The ''lycée'' Janson de Sailly was the first Republican ''lycée'' of France (the others started as royal or impe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École, a French-American bilingual school in New York City Ecole may refer to: * Ecole Software This is a list of Notability, notable video game companies that have made games for either computers (like PC or Mac), video game consoles, handheld or mobile devices, and includes companies that currently exist as well as now-defunct companies. ... , a Japanese video-games developer/publisher {{disambiguation, geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Tuberculosis Tuberculosis (TB) is an infectious disease usually caused by '' Mycobacterium tuberculosis'' (MTB) bacteria. Tuberculosis generally affects the lungs, but it can also affect other parts of the body. Most infections show no symptoms, in which case it is known as latent tuberculosis. Around 10% of latent infections progress to active disease which, if left untreated, kill about half of those affected. Typical symptoms of active TB are chronic cough with blood-containing mucus, fever, night sweats, and weight loss. It was historically referred to as consumption due to the weight loss associated with the disease. Infection of other organs can cause a wide range of symptoms. Tuberculosis is spread from one person to the next through the air when people who have active TB in their lungs cough, spit, speak, or sneeze. People with Latent TB do not spread the disease. Active infection occurs more often in people with HIV/AIDS and in those who smoke. Diagnosis of active TB is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Laurent Schwartz Laurent-Moïse Schwartz (; 5 March 1915 – 4 July 2002) was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions. For several years he taught at the École polytechnique. Biography Family Laurent Schwartz came from a Jewish family of Alsatian origin, with a strong scientific background: his father was a well-known surgeon, his uncle Robert Debré (who contributed to the creation of UNICEF) was a famous pediatrician, and his great-uncle-in-law, Jacques Hadamard, was a famous mathematician. During his training at Lycée Louis-le-Grand to enter the École Normale Supérieure, he fell in love with Marie-Hélène Lévy, daughter of the probabilist Paul Lévy who was then teaching at the École polytechnique. They married in 1938. Later they had two children, Marc-André and Claudine. Marie-Hélène w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	University Of Reims Champagne-Ardenne The University of Reims Champagne-Ardenne (; URCA), also known simply as the University of Reims, is a public university based in Reims, France. In addition to the main campus in Reims, the university has several campuses located throughout the Grand Est region, in Châlons-en-Champagne, Charleville-Mézières, Chaumont, and Troyes. History Original university The University of Reims was established in 1548,Mark W. Konnert, ''Local Politics in the French Wars of Religion'', Ashgate Publishing, Ltd., 2006, p. 52. after the Cardinal of Lorraine met with Pope Paul III. The 'Collège des Bons-Enfants' Catholic school thus became a university, teaching the arts, theology, law and medicine. The university was closed in 1793 during the French Revolution, and reemerged in the 1960s. Modern university The Faculty of Science (1961), the Literary University College (1964), the University College of Law and Economics (1966), Reims University Technology Institute (1966), the Faculties of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	University Of Lille The University of Lille (french: Université de Lille, abbreviated as ULille, UDL or univ-lille) is a French public research university based in Lille, Hauts-de-France. It has its origins in the University of Douai (1559), and resulted from the merger of three universities – Lille 1 University of Science and Technology, Lille 2 University of Health and Law, and Charles de Gaulle University – Lille III in 2018. With more than 74,000 students, it is one of the largest universities in France and one of the largest French-speaking universities in the world. Since 2017, the university has been funded as one of the French universities of excellence. It benefits from an endowment of 500 million euros to accelerate its strategy in education, research, international development and outreach. With 66 research labs, 350 PhD theses supported per year and 3,000 scientific publications each year, it is well represented in the research community; it collaborates with many organizations ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	1913 Births Events January * January 5 – First Balkan War: Battle of Lemnos – Greek admiral Pavlos Kountouriotis forces the Turkish fleet to retreat to its base within the Dardanelles, from which it will not venture for the rest of the war. * January 13 – Edward Carson founds the (first) Ulster Volunteer Force, by unifying several existing loyalist militias to resist home rule for Ireland. * January 23 – 1913 Ottoman coup d'état: Ismail Enver comes to power. * January – Stalin (whose first article using this name is published this month) travels to Vienna to carry out research. Until he leaves on February 16 the city is home simultaneously to him, Hitler, Trotsky and Tito alongside Berg, Freud and Jung and Ludwig and Paul Wittgenstein. February * February 1 – New York City's Grand Central Terminal, having been rebuilt, reopens as the world's largest railroad station. * February 3 – The 16th Amendment to the United S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]