Alain Connes (French: [alɛ̃ kɔn]; born 1 April 1947) is a French mathematician, known for his contributions to the study of operator algebras and noncommutative...

of its role in M-theory made in 1997. Some of the theory developed by Alain Connes to handle noncommutative geometry at a technical level has roots in older...

* can be 0 or 1. Paul Baum and Alain Connes introduced the following conjecture (1982) about this morphism: Baum-Connes Conjecture. The assembly map μ...

Connes' embedding problem, formulated by Alain Connes in the 1970s, is a major problem in von Neumann algebra theory. During that time, the problem was...

Connes is a surname. Notable people with the surname include: Alain Connes (born 1947), French mathematician Janine Connes (born c.1934), French astronomer...

formalized a couple of years later by Alain Connes and John Lott in what is known as the Connes-Lott model . The Connes-Lott model did not incorporate the...

criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below. The evaluation of nonstandard analysis...

newly developed field of non-commutative geometry, which was founded by Alain Connes, as a suitable possibility. Together with Jürg Fröhlich and G. Felder...

notions were independently introduced by Boris Tsygan (homology) and Alain Connes (cohomology) in the 1980s. These invariants have many interesting relationships...

string theory Banks et al. 1997 BFSS matrix model in nLab Connes 1994, p. 1 Connes 1994 Connes, Douglas, and Schwarz 1998 Nekrasov and Schwarz 1998 Seiberg...

presentation of the seven problems were Michael Atiyah, Enrico Bombieri, Alain Connes, Pierre Deligne, Charles Fefferman, John Milnor, David Mumford, Andrew...

A. Connes, Noncommutative Geometry, Academic Press, 1994 A. Connes, H. Moscovici; The Local Index Formula in Noncommutative Geometry Connes, Alain; Marcolli...

degree two. 1990: Connes and Henri Moscovici prove the local index formula in the context of non-commutative geometry. 1994: Connes, Sullivan, and Teleman...

methods of homological algebra, as does the noncommutative geometry of Alain Connes. Homological algebra began to be studied in its most basic form in the...

"excitement of mathematical endeavor". Another board member, Fields medalist Alain Connes, hoped that the publicity around the unsolved problems would help to...

avenues for physicists' comments to be disseminated. Le Monde quoted Alain Connes, recipient of the 1982 Fields Medal, as saying, "I didn't need long to...

mathematicians, physicists, and linguists, among them Yuri I. Manin, Alain Connes, Michael Atiyah, Roger Penrose, Noam Chomsky. Twenty six graduate students...

Archived (PDF) from the original on 8 April 2022. Retrieved 31 March 2017. "Alain Connes". 25 May 2012. Archived from the original on 29 August 2014. Retrieved...

collaborated with, among others, Alain Connes, since the two met at the Institute for Advanced Study in 1978. With Connes he proved in 1990 a refinement...

the law of large numbers hold. Noncommutative geometry. Developed by Alain Connes, partly building on earlier notions, such as George Mackey's approach...

injectivity of von-Neumann algebras in general, which culminated in work by Alain Connes relating injectivity to hyperfiniteness. One of the major features of...

percolation, and for verifying John Cardy's conjectured relation" 2000 Alain Connes Laurent Lafforgue "For revolutionizing the field of operator algebras...

(1945): 1954 Fields Medalist René Thom (1943): 1958 Fields Medalist Alain Connes (1966): 1982 Fields Medalist Jean-Christophe Yoccoz (1975): 1994 Fields...

musician and producer Alain Colmerauer (1941–2017), French computer scientist Alain Connes (born 1947), French mathematician Alain Corbin, French historian...

classical and quantum theory as has been put forward by Carlo Rovelli and Alain Connes. Physical time flow is modeled as a fundamental property of the theory...

they are fundamental examples of a noncommutative space in the sense of Alain Connes. For any irrational real number θ, the noncommutative torus A θ {\displaystyle...

published counterexamples to a generalization of the Baum–Connes conjecture (i.e. Baum-Connes conjecture with coefficients) in various special cases, based...

(1892–1945) Hugo Steinhaus (1887–1972) John von Neumann (1903-1957) Alain Connes (born 1947) Earliest Known Uses of Some of the Words of Mathematics:...

55.5112. S2CID 13073785. Connes, Alain (1994). Noncommutative Geometry. Academic Press. ISBN 978-0-12-185860-5. Connes, Alain; Douglas, Michael; Schwarz...

Ethology is published by Konrad Lorenz. Fields Prize in Mathematics: Alain Connes, William Thurston and Shing-Tung Yau Nobel Prizes Physics – Kenneth G...