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Marc Levine (mathematician)
Marc N. Levine (born July 29, 1952 in Detroit, Michigan) is an American mathematician. Life and work Levine graduated from the Massachusetts Institute of Technology (bachelor's degree in 1974) and earned his doctorate in 1979 from Brandeis University under Teruhisa Matsusaka. He was assistant professor at the University of Pennsylvania in Philadelphia from 1979 and at Northeastern University (Boston), Northeastern University from 1984 in Boston, where he has been associate professor since 1986 and since 1988 professor. He was a visiting professor at University Duisburg-Essen, where he worked with Hélène Esnault. Since 2009 he has been Alexander von Humboldt Professor there. He was also a visiting scholar at Mathematical Sciences Research Institute, MSRI (1986, 1990), Max Planck Institute for Mathematics in Bonn (1983, 1987), Tata Institute of Fundamental Research (1988), at University of Washington, Caltech, University Paris VI and Henri Poincaré Institute. Levine works in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marc Levine
Marc Levine (born April 26, 1974) is an American politician, who served in the California State Assembly representing the 10th district between 2012 and 2022. A member of the Democratic Party, Levine is the former Chairman of the California Legislative Jewish Caucus. A former member of the San Rafael City Council, Levine previously worked as a technology entrepreneur. Levine was a candidate for California Insurance Commissioner in the 2022 election. Early life, education, and career Marc Levine was born in Los Angeles, California. He graduated from California State University, Northridge with a bachelor's degree and went on to Naval Postgraduate School to earn his master's degree. Before elected office, Levine worked as a senior product manager for Benetech, a social enterprise technology company, executive director of a web site promoting tsunami relief, and a business development strategy manager for a software company. California State Assembly Elections Levine ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tata Institute Of Fundamental Research
Tata Institute of Fundamental Research (TIFR) is an Indian Research Institute under the Department of Atomic Energy of the Government of India. It is a public deemed university located at Navy Nagar, Colaba in Mumbai. It also has campus in Bangalore, International Centre for Theoretical Sciences (ICTS), and an affiliated campus in Serilingampally near Hyderabad. TIFR conducts research primarily in the natural sciences, the biological sciences and theoretical computer science. History In 1944, Homi J. Bhabha, known for his role in the development of the Indian atomic energy programme, wrote to the Sir Dorabji Tata Trust requesting financial assistance to set up a scientific research institute. With support from J.R.D. Tata, then chairman of the Tata Group, TIFR was founded on 1 June 1945, and Homi Bhabha was appointed its first director. The institute initially operated within the campus of the Indian Institute of Science, Bangalore before relocating to Mumbai later that year. T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cobordism
In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary (French '' bord'', giving ''cobordism'') of a manifold. Two manifolds of the same dimension are ''cobordant'' if their disjoint union is the ''boundary'' of a compact manifold one dimension higher. The boundary of an (''n'' + 1)-dimensional manifold ''W'' is an ''n''-dimensional manifold ∂''W'' that is closed, i.e., with empty boundary. In general, a closed manifold need not be a boundary: cobordism theory is the study of the difference between all closed manifolds and those that are boundaries. The theory was originally developed by René Thom for smooth manifolds (i.e., differentiable), but there are now also versions for piecewise linear and topological manifolds. A ''cobordism'' between manifolds ''M'' and ''N'' is a compact manifold ''W'' whose boundary is the disjoint union of ''M'' and ''N'', \partial ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Cobordism
In mathematics, algebraic cobordism is an analogue of complex cobordism for smooth quasi-projective schemes over a field. It was introduced by . An oriented cohomology theory on the category of smooth quasi-projective schemes Sm over a field ''k'' consists of a contravariant functor ''A''* from Sm to commutative graded rings, together with push-forward maps ''f''* whenever ''f'':''Y''→''X'' has relative dimension ''d'' for some ''d''. These maps have to satisfy various conditions similar to those satisfied by complex cobordism. In particular they are "oriented", which means roughly that they behave well on vector bundles; this is closely related to the condition that a generalized cohomology theory has a complex orientation. Over a field of characteristic 0, algebraic cobordism is the universal oriented cohomology theory for smooth varieties. In other words there is a unique morphism of oriented cohomology theories from algebraic cobordism to any other oriented cohomology th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fabien Morel
Fabien Morel (born 22 January 1965, in Reims) is a French algebraic geometer and key developer of A¹ homotopy theory with Vladimir Voevodsky. Among his accomplishments is the proof of the Friedlander conjecture, and the proof of the complex case of the Milnor conjecture stated in Milnor's 1983 paper 'On the homology of Lie groups made discrete'. This result was presented at the Second Abel Conference, held in January–February 2012. In 2006 he was an invited speaker with talk ''A1-algebraic topology'' at the International Congress of Mathematicians in Madrid. Selected publications ''A1-algebraic topology over a field.''(= Lecture Notes in Mathematics. 2052). Springer, 2012, . * with Marc Levine''Algebraic Cobordism.''Springer, 2007, . ''Homotopy theory of Schemes.''American Mathematical Society, 2006 (French original published by Société Mathématique de France Lactalis is a French multinational dairy products corporation, owned by the Besnier family and based in Laval ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic K Theory
Algebraic ''K''-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called ''K''-groups. These are groups in the sense of abstract algebra. They contain detailed information about the original object but are notoriously difficult to compute; for example, an important outstanding problem is to compute the ''K''-groups of the integers. ''K''-theory was discovered in the late 1950s by Alexander Grothendieck in his study of intersection theory on algebraic varieties. In the modern language, Grothendieck defined only ''K''0, the zeroth ''K''-group, but even this single group has plenty of applications, such as the Grothendieck–Riemann–Roch theorem. Intersection theory is still a motivating force in the development of (higher) algebraic ''K''-theory through its links with motivic cohomology and specifically Chow groups. The subject also includes classical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Motivic Homotopy
In music, a motif IPA: ( /moʊˈtiːf/) (also motive) is a short musical phrase, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "The motive is the smallest structural unit possessing thematic identity". The ''Encyclopédie de la Pléiade'' regards it as a "melodic, rhythmic, or harmonic cell", whereas the 1958 ''Encyclopédie Fasquelle'' maintains that it may contain one or more cells, though it remains the smallest analyzable element or phrase within a subject. It is commonly regarded as the shortest subdivision of a theme or phrase that still maintains its identity as a musical idea. "The smallest structural unit possessing thematic identity". Grove and Larousse also agree that the motif may have harmonic, melodic and/or rhythmic aspects, Grove adding that it "is most often thought of in melodic terms, and it is this aspect of the motif that is connoted by the term 'figur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Motivic Cohomology
Motivic cohomology is an invariant of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow ring of algebraic cycles as a special case. Some of the deepest problems in algebraic geometry and number theory are attempts to understand motivic cohomology. Motivic homology and cohomology Let ''X'' be a scheme of finite type over a field ''k''. A key goal of algebraic geometry is to compute the Chow groups of ''X'', because they give strong information about all subvarieties of ''X''. The Chow groups of ''X'' have some of the formal properties of Borel–Moore homology in topology, but some things are missing. For example, for a closed subscheme ''Z'' of ''X'', there is an exact sequence of Chow groups, the localization sequence :CH_i(Z) \rightarrow CH_i(X) \rightarrow CH_i(X-Z) \rightarrow 0, whereas in topology this would be part of a long exact sequence. This problem was resolved by generalizing Chow groups to a bigrad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up to homeomorphism, though usually most classify up to Homotopy#Homotopy equivalence and null-homotopy, homotopy equivalence. Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible. Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group is again a free group. Main branches of algebraic topology Below are some of the main areas studied in algebraic topology: Homotopy groups In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental group, which records information about loops in a space. Intuitively, homotopy gro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Levine Morel
Levine (French transliteration from Russian) / Levin (English transliteration from Russian Левин) is a common Jewish (Ashkenazi Jewish) surname. Levinsky is a variation with the same meaning (see French version of the article for a full explanation). People with the name Levine or LeVine include: People In arts and media In film, television, and theatre *Alice Levine, British television and radio presenter *Chloe Levine, American actress *Floyd Levine, American film and television actor *Joseph E. Levine, American film producer * Kate Levine, voice actor *Ken Levine (TV personality), American television and film writer and baseball announcer *Kristine Levine, American actress and stand-up comedian *Naomi Levine, American actor *Rhoda Levine, American opera director and choreographer *Samm Levine (b. 1982), American television and film actor *Ted Levine (b. 1957), American actor In literature and journalism *Allan Levine (born 1956), Canadian writer *David Levine (1926–2009 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Henri Poincaré Institute
Henri is an Estonian, Finnish, French, German and Luxembourgish form of the masculine given name Henry. People with this given name ; French noblemen :'' See the 'List of rulers named Henry' for Kings of France named Henri.'' * Henri I de Montmorency (1534–1614), Marshal and Constable of France * Henri I, Duke of Nemours (1572–1632), the son of Jacques of Savoy and Anna d'Este * Henri II, Duke of Nemours (1625–1659), the seventh Duc de Nemours * Henri, Count of Harcourt (1601–1666), French nobleman * Henri, Dauphin of Viennois (1296–1349), bishop of Metz * Henri de Gondi (other) * Henri de La Tour d'Auvergne, Duke of Bouillon (1555–1623), member of the powerful House of La Tour d'Auvergne * Henri Emmanuel Boileau, baron de Castelnau (1857–1923), French mountain climber * Henri, Grand Duke of Luxembourg (born 1955), the head of state of Luxembourg * Henri de Massue, Earl of Galway, French Huguenot soldier and diplomat, one of the principal commanders of Batt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
