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Topic: Alain Connes

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In the News (Mon 25 Mar 19)

  Alain Connes, honorary doctor 2000 - The University of Oslo
For several years, Alain Connes has been one of the world-leading mathematicians.
Professor Connes worked almost exclusively, during the years 1971-1982, on operator algebras - a branch of functional analysis which arose from the study of quantum mechanics and group representations in the 1930’s.
At about the same time, Connes started to study differential geometry, and for the next 5 years his research was divided between geometry and operator algebras.
www.uio.no /english/about_uio/honorary-doctors/2000/connes.html   (336 words)

NASHVILLE, Tenn. — Alain Connes, widely considered to be one of the three most influential living mathematicians, has accepted a position of distinguished professor at Vanderbilt, enabling the University to become a base for training new mathematicians to fill the ranks left vacant by a retiring generation of scholars.
Under the arrangement, Connes, who is a professor of mathematics at the College de France and holds the Motchane Chair at l'Institut des Hautes Études Scientifiques in France, will spend several weeks each spring in Nashville to collaborate with members of the Vanderbilt math department and participate in an annual workshop for young mathematicians.
In 1982, Connes received the Fields Medal, the highest award given by the international mathematics community, and in 2001 he was awarded the $500,000 Crafoord Prize by the Royal Swedish Academy of Sciences.
sitemason.vanderbilt.edu /newspub/bjfTyg?id=5858&mode=print   (687 words)

 [No title]
They attempt to provide an introduction to Alain Connes' non-commutative geometry-analysis,\footnote{ In a modern sight geometry and analysis have merged into one discipline: the study of manifolds and the operators on their vector bundles.
Concerning the microworld Connes proposes an astounding interpretation of the full standard model in terms of a Poincar\'e-dual pair of (mildly) non-commutative spaces, compounds of usual space-time and the electroweak, resp.
I regret not to have had the leisure of including an account of Connes' non-commited study of the possible choice of coupling constants: for this I refer to [3], [3a], [4], where results are stated without details of calculations.
www.ma.utexas.edu /mp_arc/html/papers/94-264   (9786 words)

 Not Even Wrong » Blog Archive » Interview With Alain Connes
Connes also has many interesting comments about non-commutative geometry and about his own career, including the fact that he went off in the direction he did because he was put off by the arrogance of the algebraic geometers at the IHES.
When Connes asked him about this, the physicist told him that the difference was that in the meantime he had heard that Witten had been seen reading Connes’s book in the library at Princeton.
Connes said “… the most successful systems so far were these big institutes in the Soviet Union, like the Landau institute, the Steklov institute, etc. Money did not play any role there, the job was just to talk about science.
www.math.columbia.edu /~woit/wordpress?p=313   (4653 words)

 Noncommutative geometry and number theory   (Site not responding. Last check: 2007-11-06)
Connes, "Noncommutative geometry and the Riemann zeta function" from Mathematics: Frontiers and Perspectives 2000, V. Arnold et.al.
Connes, "Trace formula in noncommutative geometry and the zeros of the Riemann zeta function", Selecta Math.
An extension of the work of Bost and Connes to general global fields was done by Harari and Leichtnam in [HL].
www.maths.ex.ac.uk /~mwatkins/zeta/noncommgeom.htm   (1673 words)

 [No title]
Hopefully lots of you know that Connes is the wizard of operator theory who turned to inventing a new branch of geometry, "noncommutative geometry".
Connes and Lott also studied the strong force, but now Connes has introduced gravity into his model.
His spacetime is the noncommutative algebra consisting of smooth functions on good old 4-dimensional Minkowski spacetime, taking values in the algebra A given by the direct sum A = C + H + M_3(C) where C is the complex numbers, H is the quaternions, and M_3(C) is the 3x3 complex matrices.
math.ucr.edu /home/baez/twf_ascii/week83   (1952 words)

 Alain Chartier --  Britannica Student Encyclopedia
Alain Chartier was a French poet and political writer whose didactic, elegant, and Latinate style was regarded as a model by succeeding generations of poets and prose writers.
His poems are mostly allegories in the courtly tradition but show the influence of his classical learning in their frequent Latinisms.
Alain Juppé was a man of strong intellect and convictions, equally influential in finance and foreign affairs.
www.britannica.com /ebi/article-9319357   (599 words)

 Alain Connes articles and links   (Site not responding. Last check: 2007-11-06)
Connes, "From physics to number theory via noncommutative geometry.
This is Connes' expository paper on the subject matter of the course, describing his motivations and some background.
This is another of Connes' papers, on the subject matter of this course.
www.maths.ex.ac.uk /~mwatkins/zeta/connes.htm   (765 words)

 Vanderbilt Mathematics, Noncommutative Geometry and Applications
This conference/school will feature a lecture series by Alain Connes and several mini-courses by leading experts in noncommutative geometry and its applications to physics and geometry.
Connes, H. Moscovici, Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry
Connes, H. Moscovici, Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry
www.math.vanderbilt.edu /~bisch/shanks2003   (1014 words)

 [No title]
Recent work of Connes and Chamseddine suggests that they can be taken as natural variables for an invariant description of the dynamics of gravity.
Alain Connes' exciting and ambitious attempt to unravel a microscopic noncommutative structure of spacetime \cite{alainb,lot,daniel3,landi} has generated, among several others, also the idea that the Dirac operator $D$ encodes the full information about the spacetime geometry in a way usable for describing gravitational dynamics.
Following Connes \cite{alain}, it is tempting to consider the physical hypothesis that isospectral Ricci flat 4-geometries, are physical indistinguishable (``Spectral hypothesis'').
www.ma.utexas.edu /mp_arc/papers/97-456   (4638 words)

 Alain CONNES : astrology, horoscope, planets, Map of the Heavens, Interactive Chart
Just click on the Dynamic Natal Chart of Alain CONNES with the positions of planets, astrological houses, and the list of the aspects with orbs in degrees and minutes.
Only 6 diagrams out of 11 are displayed, and precision of these computations is of course not of the same level than those for the case of the known time of the event.
Texts are not translated, so if you wish to read interpretations associated with theses computations, you need to go to the full astrological Portrait of Alain CONNES and to use this Automatic Free Website Translator.
www.astrotheme.fr /en/portraits/j7DmxL5j5ZmU.htm   (494 words)

 Alain Connes on …. everything — NeverEndingBooks Archive   (Site not responding. Last check: 2007-11-06)
Alain Connes and Mathilde Marcolli have posted a new survey paper on Arxiv A walk in the noncommutative garden.
There are many contenders for the title of noncommutative geometry, but Connes’ flavor is the most successful.
Browse through it if you have to, be dazzled by it if you are so inclined, but I doubt it is the eye-opener you were looking for if you gave up on reading Connes’ book Noncommutative Geometry….
www.neverendingbooks.org /index.php/alain-connes-on-everything   (1009 words)

 Citebase - Remarks on Alain Connes' approach to the standard model
Citation coverage and analysis is incomplete and hit coverage and analysis is both incomplete and noisy.
Alain Connes' applications of non-commutative geometry to interaction physics are described for the purpose of model building.
The formalism of non-commutative geometry of A. Connes is used to construct models in particle physics.
www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/0111234   (809 words)

 Morley's Redux and More
Here's the news: Alain Connes - a French Fields medalist - has come up with a new proof of Morley's theorem.
Connes was introduced to the theorem at lunch time.
Connes published his proof in a collection of papers on the occasion of the 40
www.cut-the-knot.org /ctk/MorleysRedux.shtml   (1857 words)

 Ars Mathematica » Blog Archive » Connes on noncommutative geometry
Most of Connes’ examples are variants of the same basic idea: when a group acts nicely on a space, you can define a new space by collapsing each orbit of the group action to a single point (this construction is known as the quotient space of the action).
For group actions that have badly behaved quotients, Connes introduced a noncommutative ring that functions as the analogue of the quotient space.
This entry was posted on Tuesday, January 3rd, 2006 at 11:38 pm and is filed under Mathematics.
www.arsmathematica.net /archives/2006/01/03/connes-on-noncommutative-geometry   (361 words)

 Noncommutative Geometry and Operator Algebras at Vanderbilt University
Alain Connes (Collège de France, IHES & Vanderbilt) and Matilde Marcolli (Max-Planck Institute Bonn) will give a mini-course ``Noncommutative geometry: from Quantum Physics to Motives'' at Vanderbilt from April 5 to April 15, 2005.
Alain Connes received in November 2004 the prestigious Gold Medal of the Centre National de la Recherche Scientifique.
The Co-PI's on the grant are Guoliang Yu, Dietmar Bisch, Alain Connes, Bruce Hughes and Gennadi Kasparov.
atlas.math.vanderbilt.edu /~ncgoa   (839 words)

 Vanderbilt University Daily Register
Alain Connes, Distinguished Professor in the Department of Mathematics, has been awarded one of France’s most noteworthy scientific awards: the annual Gold Medal of the Centre National de la Recherche Scientifique (CNRS).
Connes has published more than 150 scientific articles.
Connes will conduct a mini-course on noncommutative geometry and number theory at Vanderbilt during the first two weeks of April 2005, along with Matilde Marcolli from the Max Planck Institute in Germany.
www.vanderbilt.edu /register/articles?id=17862   (229 words)

 Alain Connes
Alain Corbin - Lure of the Sea the Discovery of the S - 0140247998
This artikel Alain_Connes is licensed under the GNU free Documentation License.
This artikel Clay_Research_Award is licensed under the GNU free Documentation License.
aessay.com /14436_alain-connes_012185860xnoncommutativegeometrydisco...   (273 words)

 [No title]   (Site not responding. Last check: 2007-11-06)
The main trick invented by Connes was to come up with a substitute for the "differential forms" on a space.
Connes, being extremely inventive and ambitious, has applied noncommutative differential geometry to many areas: index theory, K-theory, foliations, Penrose tilings, fractals, the quantum Hall effect, and even elementary particle physics.
Perhaps the most intriguing result is that if one develops the Yang-Mills equations with using the techniques of noncommutative geometry, but with a very simple "commutative" model of spacetime, namely a two-sheeted cover of ordinary spacetime, the Higgs boson falls out rather magically on its own.
www.infomag.ru:8082 /dbase/B003E/941014-054.txt   (1079 words)

 Alibris: Connes
Georges Connes was a young literature graduate when he was drafted and served in the infamous and bloody battle of Verdun.
One of the greatest challenges that theoretical physics faces at the end of the century is to blend together the two revolutions of the beginning of the century, namely general relativity and quantum mechanics.
Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles.
www.alibris.com /search/books/author/Connes   (465 words)

 UCLA Distinguished Lecturers
Talk Description: Professor Connes will describe his joint works with Kreimer on Renormalization and the Riemann-Hilbert problem, and with Moscovici on the transverse index theory for foliations.
Alain Connes is a professor at College de France and Institut des Hautes Études Scientifiques near Paris.
Connes has been described as "a veritable Chopin of math, hailed for the power, richness, depth, and innovativeness of his work."
www.math.ucla.edu /dls/2001/connes.html   (148 words)

 Citations: A detailed account of Alain Connes' version of the standard model in non-commutative geometry - Kastler ...   (Site not responding. Last check: 2007-11-06)
Kastler, A detailed account of Alain Connes' version of the standard model in noncommutative differential geometry I. and II., Rev. Math.
A Detailed Account of Alain Connes' Version of the Standard..
On Alain Connes' Non Commutative Geometry And Applications To..
citeseer.ist.psu.edu /context/324541/85697   (585 words)

 Changeux, J. and Connes, A.; DeBevoise, M.B., ed. and trans.: Conversations on Mind, Matter, and Mathematics.
Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions.
The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means.
Connes might best be characterized by reviving an old term.
pup.princeton.edu /titles/5634.html   (594 words)

 Alain Connes---views on quantum gravity
Connes voices opinions on string theory, the Bourbaki, and a host of other subjects
Well, Connes is entirely right that the old USSR way of doing science is much more efficient.
The way young people have to make their career in physics in these days is simply dreadful.
www.physicsforums.com /showthread.php?p=860052#post860052   (628 words)

 Alain Connes -- Official Web Site   (Site not responding. Last check: 2007-11-06)
Alain Connes is currently a Professor at the College of France, IHES and Vanderbilt University.
Awards include the Fields Medal (1982) and the Crafoord Prize (2001).
To get in touch with Alain Connes, see the "Contact" section.
www.alainconnes.org   (80 words)

 On Alain Connes' Non Commutative Geometry And Applications To Fundamental Interactions (ResearchIndex)   (Site not responding. Last check: 2007-11-06)
Abstract: We introduce the reader to Alain Connes non commutative differential geometry, and sketch the applications made to date to (the lagrangian level of) fundamental physical interactions.
2 Remarks on Alain Connes' approach to the standard model in n..
1 Introduction to Alain Connes' non-commutative differential g..
citeseer.ist.psu.edu /39783.html   (627 words)

 Noncommutative Geometry, First Edition by Alain Connes [ISBN: 012185860X] - Find Cheap Textbook Prices & Save BIG
This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes.
Alain Connes created the main parts of the theory, and paved the way for
If you already know this stuff, it might be useful to have all the relevant topics gathered together in one place, but if you don't already know it, you are going to be disappointed.
www.gettextbooks.com /isbn_012185860X.html   (945 words)

 Noncommutative Geometry:012185860X:Connes, Alain:eCampus.com
Developed by Alain Connes, noncommutative geometry is the set of tools and methods that makes possible the classification and analysis of a broad range of objects beyond the reach of classical methods.
This English version of the author's path-breaking French book on the subject gives the definitive treatment of his revolutionary approach to measure theory, geometry, and mathematical physics.
Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields.
www.ecampus.com /bk_detail.asp?isbn=012185860X&referrer=yah04   (99 words)

 Alain - CIRCS - Northeastern University - Home Page   (Site not responding. Last check: 2007-11-06)
Alain Robbe-Grillet's works lack the conventional elements, such as dramatic Alain Robbe-Grillet was born in Brest, Finistère, in northwestern France,
Biography of Alain Connes (1947-0BC) Alain Connes was born in Draguignan, a town near Cannes in the Provence- Alpes- Côte- d'Azur region of southeast
Whether he is speaking on safety and Alain Burrese has studied leadership for years, and more importantly applied
infomartweb.com /?q=alain   (403 words)

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