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...

Connes is a surname. Notable people with the surname include: Alain Connes (born 1947), French mathematician Janine Connes (1926–2024), French astronomer...

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

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...

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

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...

Pennsylvania State University. He is known for formulating the Baum–Connes conjecture with Alain Connes in the early 1980s. Baum studied at Harvard University, earning...

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

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...

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

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...

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

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...

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...

* 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...

the postwar period, in 1954, 1966 and 1950 respectively. Later members Alain Connes and Jean-Christophe Yoccoz also received the Fields Medal, in 1982 and...

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...

Jean-Pierre Changeux Roger Chartier Anne Cheng Claude Cohen-Tannoudji Alain Connes Yves Coppens Georges Cuvier Marie Henri d'Arbois de Jubainville Jean...

IHÉS celebrated its 40th anniversary in 1998 and its 50th in 2008. Alain Connes (Fields Medal 1982), has been holding the Léon Motchane Chair since 1979...

the world, then how does time emerge? In 1993, in collaboration with Alain Connes, Rovelli proposed a solution to this problem called the thermal time...

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...

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...

Charles Herbert Clemens Alfred Hoblitzelle Clifford Jean-Michel Combes Alain Connes Michael Grain Crandall Gerard Debreu Pierre Deligne Vladimir F. Demyanov...

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...

mathematics. Other contributors include Fields medalists Michael Atiyah, Alain Connes, Charles Fefferman, and Terence Tao, and well-known mathematicians Noga...

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

trigonometric calculations. Recent proofs include an algebraic proof by Alain Connes (1998, 2004) extending the theorem to general fields other than characteristic...

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