Lê Dũng Tráng
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Lê Dũng Tráng
Lê Dũng Tráng, (born 1947 in Saigon) is a Vietnamese-French mathematician. Life and work In the 1950s, Lê Dũng Tráng came to France, where he attended the Lycée Louis-le-Grand in Paris. He obtained a Ph.D. degree at the University of Paris in 1969 and 1971 under the supervision of Claude Chevalley and Pierre Deligne. From 1975 to 1999, he was professor at the University of Paris VII and research director of the CNRS. From 1983 to 1995 he was also a professor at the École Polytechnique. From 2002 to 2009 he headed the department of mathematics at the International Centre for Theoretical Physics (ICTP), in Trieste, Italy. He was a frequent guest scientist at Harvard University (with Phillip Griffiths) and Northeastern University (with Terence Gaffney and David B. Massey). He is particularly concerned with singularity theory in the complex domain ( Milnor fibrations, perverse sheaves). In 2000 he was involved in promoting scientific exchange between the United States ...
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Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher learning in the United States and one of the most prestigious and highly ranked universities in the world. The university is composed of ten academic faculties plus Harvard Radcliffe Institute. The Faculty of Arts and Sciences offers study in a wide range of undergraduate and graduate academic disciplines, and other faculties offer only graduate degrees, including professional degrees. Harvard has three main campuses: the Cambridge campus centered on Harvard Yard; an adjoining campus immediately across Charles River in the Allston neighborhood of Boston; and the medical campus in Boston's Longwood Medical Area. Harvard's endowment is valued at $50.9 billion, making it the wealthiest academic institution in the world. Endowment inco ...
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Kyoji Saito
Kyōji Saitō (齋藤 恭司, Saitō Kyōji; born 25 December 1944) is a Japanese mathematician, specializing in algebraic geometry and complex analytic geometry. Education and career Saito received in 1971 his promotion Ph.D. from the University of Göttingen under Egbert Brieskorn, with thesis ''Quasihomogene isolierte Singularitäten von Hyperflächen'' (Quasihomogeneous isolated singularities of hypersurfaces). Saito is a professor at the Research Institute for Mathematical Sciences (RIMS) of Kyoto University. Saito's research deals with the interplay among Lie algebras, reflection groups (Coxeter groups), braid groups, and singularities of hypersurfaces. From the 1980s, he did research on underlying symmetries of period integrals in complex hypersurfaces. Saito introduced higher-dimensional generalizations of elliptic integrals. These generalizations are integrals of "primitive forms", first considered in the study of the unfolding of isolated singularities of complex ...
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Claude Sabbah
Claude Sabbah (born 30 October 1954) is a French mathematician and researcher at École Polytechnique. Education Sabbah received his doctoral degree from Paris Diderot University in 1976 under the supervision of Lê Dũng Tráng. Selected publications Books * ''Introduction to Stokes Structures'', Springer Verlag, 2012, * ''Polarizable twistor D-modules'', Société Mathématique de France, 2005 * With Jean-Michel Bony, Bernard Malgrange and 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 19 ... : ''Distributions. Dans le sillage de Laurent Schwartz'', Éditions de l'École polytechnique, 2003, * ''Déformations isomonodromiques et variétés de Frobenius'', EDP Sciences, 2002, ** English translation : ''Isomonodromic Deformations and Frobenius Manifolds'', ...
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Hélène Esnault
Hélène Esnault (born 17 July 1953) is a French and German mathematician, specializing in algebraic geometry. Biography Born in Paris, Esnault earned her PhD in 1976 from the University of Paris VII. She wrote her dissertation on ''Singularites rationnelles et groupes algebriques'' (Rational singularities and algebraic groups) under the direction of Lê Dũng Tráng. She did her habilitation at the University of Bonn in 1985, and pursued her studies at the University of Duisburg-Essen. Afterwards, she was a Heisenberg scholar of the Deutsche Forschungsgemeinschaft (DFG) at the Max Planck Institute for Mathematics in Bonn. She became the first Einstein Professor at Freie Universität Berlin in 2012, as head of the algebra and number theory research group, after working previously at the University of Duisburg-Essen, the Max-Planck-Institut für Mathematik in Bonn, and at the University of Paris VII. In 2007 Esnault was editor-in-chief and founder of the journal Algebra & Num ...
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Third World Academy Of Sciences
The World Academy of Sciences (TWAS) is a merit-based science academy established for developing countries, uniting 1,000 scientists in some 70 countries. Its principal aim is to promote scientific capacity and excellence for sustainable development in developing countries. It was formerly known as the ''Third World Academy of Sciences''. Its headquarters is located on the premises of the Abdus Salam International Centre for Theoretical Physics (ICTP) in Trieste, Italy. History TWAS was founded in 1983 under the leadership of the Nobel Laureate Abdus Salam of Pakistan by a group of distinguished scientists who were determined to do something about the dismal state of scientific research in developing countries. * Although developing countries account for 80% of the world's population, only 28% of the world's scientists hail from these countries. This fact reflects the lack of innovative potential necessary to solve real-life problems affecting poor nations. * A chronic lack of ...
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Vietnam Academy Of Science And Technology
The Vietnam Academy of Science and Technology ( vi, Viện Hàn lâm Khoa học và Công nghệ Việt Nam) is the largest and most prominent research institute in Vietnam. It was founded on 20 May 1975 as the Vietnam Academy of Science, and renamed the Vietnam Academy of Science and Technology (VAST) in 2008. Its infrastructure spans Hanoi, Ho Chi Minh City, Hải Phòng, Nha Trang, Đà Lạt, and Huế. In March 2010, the Vietnam Academy of Science and Technology launched a peer reviewed open access journal, ''Advances in Natural Sciences: Nanoscience and Nanotechnology'' (ANSN). The journal is jointly published with IOP Publishing IOP Publishing (previously Institute of Physics Publishing) is the publishing company of the Institute of Physics. It provides publications through which scientific research is distributed worldwide, including journals, community websites, maga .... The Vietnam National Satellite Center, renamed the Vietnam National Space Center (VNSC) in July ...
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Vietnam
Vietnam or Viet Nam ( vi, Việt Nam, ), officially the Socialist Republic of Vietnam,., group="n" is a country in Southeast Asia, at the eastern edge of mainland Southeast Asia, with an area of and population of 96 million, making it the world's sixteenth-most populous country. Vietnam borders China to the north, and Laos and Cambodia to the west. It shares maritime borders with Thailand through the Gulf of Thailand, and the Philippines, Indonesia, and Malaysia through the South China Sea. Its capital is Hanoi and its largest city is Ho Chi Minh City (commonly known as Saigon). Vietnam was inhabited by the Paleolithic age, with states established in the first millennium BC on the Red River Delta in modern-day northern Vietnam. The Han dynasty annexed Northern and Central Vietnam under Chinese rule from 111 BC, until the first dynasty emerged in 939. Successive monarchical dynasties absorbed Chinese influences through Confucianism and Buddhism, and expanded ...
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United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ...
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Perverse Sheaf
The mathematical term perverse sheaves refers to a certain abelian category associated to a topological space ''X'', which may be a real or complex manifold, or a more general topologically stratified space, usually singular. This concept was introduced in the thesis of Zoghman Mebkhout, gaining more popularity after the (independent) work of Joseph Bernstein, Alexander Beilinson, and Pierre Deligne (1982) as a formalisation of the Riemann-Hilbert correspondence, which related the topology of singular spaces (intersection homology of Mark Goresky and Robert MacPherson) and the algebraic theory of differential equations (microlocal calculus and holonomic D-modules of Joseph Bernstein, Masaki Kashiwara and Takahiro Kawai). It was clear from the outset that perverse sheaves are fundamental mathematical objects at the crossroads of algebraic geometry, topology, analysis and differential equations. They also play an important role in number theory, algebra, and representation theory. Th ...
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Milnor Map
In mathematics, Milnor maps are named in honor of John Milnor, who introduced them to topology and algebraic geometry in his book ''Singular Points of Complex Hypersurfaces'' (Princeton University Press, 1968) and earlier lectures. The most studied Milnor maps are actually fibrations, and the phrase Milnor fibration is more commonly encountered in the mathematical literature. These were introduced to study isolated singularities by constructing numerical invariants related to the topology of a smooth deformation of the singular space. Definition Let f(z_0,\dots,z_n) be a non-constant polynomial function of n+1 complex variables z_0,\dots,z_n where the vanishing locus of :f(z)\ \text\ \frac(z) is only at the origin, meaning the associated variety X = V(f) is not smooth at the origin. Then, for K = X \cap S^_ (a sphere inside \mathbb^ of radius \varepsilon > 0) the Milnor fibrationpg 68 associated to f is defined as the map :\phi\colon (S_\varepsilon^\setminus K) \to S^1\ \text \ x ...
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David B
David Robert Jones (8 January 194710 January 2016), known professionally as David Bowie ( ), was an English singer-songwriter and actor. A leading figure in the music industry, he is regarded as one of the most influential musicians of the 20th century. Bowie was acclaimed by critics and musicians, particularly for his innovative work during the 1970s. His career was marked by reinvention and visual presentation, and his music and stagecraft had a significant impact on popular music. Bowie developed an interest in music from an early age. He studied art, music and design before embarking on a professional career as a musician in 1963. "Space Oddity", released in 1969, was his first top-five entry on the UK Singles Chart. After a period of experimentation, he re-emerged in 1972 during the glam rock era with his flamboyant and androgynous alter ego Ziggy Stardust (character), Ziggy Stardust. The character was spearheaded by the success of Bowie's single "Starman (song), Starma ...
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