21. La Complexité, Vertiges Et Promesses. Bibliographie Translate this page CHANGEUX Jean-Pierre et connes alain, Matière à pensée, Odile Jacob, 1989. connes alain, LICHNEROWICZ André et SCHÜTZENBERGER Marcel Paul, http://www.archipress.org/complexite/index6.htm

@rchipress Agence de presse Contact Sommaire ... English Bibliographie extraits de Paris, Le Pommier, 2002, pp. 401-414. AMEISEN Jean-Claude , Seuil, 1999. ATLAN Henri , tome 1, Seuil, 1999. BAK Per Quand la nature s'organise. Avalanches, tremblements de terre et autres cataclysmes , Flammarion, 1999. BARROW John D. Pi in the Sky. Counting, Thinking and Being , New York, Oxford University Press, 1992. mathesis BARROW John D. Les Origines de l'univers , Hachette, coll. Sciences, 1994. BARROW John D. , Flammarion, coll. Champs, 1996). BARROW John D. Impossibility, the Limits of Science and the Science of Limits , New York, Oxford University Press, 1998. BARROW John D. Between Inner Space and Outer Space , New York, Oxford University Press, 1999. BARROW John D. The Book of Nothing , Londres, Random House, 2000. Des rythmes au chaos , Odile Jacob, coll. Opus, 1994.

22. Connes A.. - General Info connes alain. Foreign member. Member of division, BRANCH OF MATHEMATICS Members of Branch. Last modification 22.06.2004. Resources search http://www.ras.ru/win/db/show_per.asp?P=id-53787.oi-1.vi-.fi-.uk-45.ln-en

23. Bollati Boringhieri Editore - Scheda Libro Translate this page Changeux Jean-Pierre, connes alain. Anno 1991. Collana «Saggi scienze». Prezzo €20,66 Alain Connes insegna Analisi e Geometria nello stesso istituto. http://www.bollatiboringhieri.it/scheda.php?codice=06388

24. Alain Connes Alain Connes Distinguished Professor. Employed at Vanderbilt Since 2003. Email alain@math.vanderbilt.edu. Copyright Vanderbilt University. http://sitemason.vanderbilt.edu/site/cI5esE

Home Personal Webpage Curriculum Vitae Downloadable Research Articles ... Web page at IHES Alain Connes Distinguished Professor Employed at Vanderbilt Since: Email: alain@math.vanderbilt.edu

25. Alain CONNES Alain CONNES. connes@ihes.fr. IHES, 35, route de Chartres, 91440 Buressur-Yvette, France. close window. http://www.maths.ed.ac.uk/~jmf/ESI/participants/connes.html

Alain CONNES connes@ihes.fr I.H.E.S., 35, route de Chartres, 91440 Bures-sur-Yvette, France close window

26. Librairie Gallimard Montréal - Rayon connes alain. ODILE JACOB - 10/1989, Disponible dans les 10 jours, $33.95. MATIERE A PENSEE - CHANGEUX JEAN-PIERRE http://www.gallimardmontreal.com/gallim/site/rayon.jsp?pNOPRESERVECurrentPageNum

27. Alain Connes -- Official Web Site The official web site of alain connes. bibliography that points to downloadable papers. To get in touch with alain connes, see the Contact section. http://www.alainconnes.org/

Alain Connes Home Agenda Downloads Bibliography Curriculum Vitae ... Contact Information Alain Connes 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 More information Here you will find: information about future and recent talks and conferences , including lecture at the College of France. downloadable stuff , such as most recent papers and some older ones that are now available in electronic form. a complete and up-to-date bibliography that points to downloadable papers. To get in touch with Alain Connes, see the " Contact " section.

28. Course Information Lecture notes by alain connes. http://www.math.ohio-state.edu/lectures/connes/Connes_course.html

Noncommutative Geometry, Trace Formulas and the Zeros of the Riemann Zeta Function Abstract In this course we first give a general introduction to noncommutative geometry. We then discuss a fundamental example of noncommutative space related to the Riemann zeta function. This gives a spectral interpretation of the critical zeros of the Riemann zeta function as an absorption spectrum, while the noncritical zeros appear as resonances, and a geometric interpretation of the explicit formulas of number theory as a trace formula on a noncommutative space. This reduces the Riemann hypothesis to the validity of the trace formula, which remains unproved, and eliminates the parameter of our previous approach. Topics Introduction to noncommutative geometry Quantum chaos and the hypothetical Riemann flow. Algebraic geometry and global fields of nonzero characteristic. Spectral interpretation of critical zeros. The distribution trace formula for flows on manifolds. The action of K on K for a local field. The global case, and the formal trace computation. The trace formula and S -units.

29. Alain Connes -- Downloads The official web site of alain connes. resource center is under construction by Matilde Marcolli. Copyright © 20032005 alain connes. All rights reserved. http://www.alainconnes.org/downloads.html

Alain Connes Home Agenda Downloads Bibliography Curriculum Vitae Contact Information Downloads Lectures at the College of France Géométrie des algèbres quadratiques (2004 - 2005) [PDF] 104 KB [PS] 239 KB Q-réseaux (2003 - 2004) [PDF] 98 KB [PS] 236 KB Structures transverses et Crochets de Rankin-Cohen (2002 - 2003) [PDF] 89 KB [PS] 219 KB Variétés Noncommutatives de type Sphérique (2000 - 2001) [PDF] 74 KB [PS] 189 KB Renormalisation en théorie des champs et problème de Riemann-Hilbert (1999 - 2000) [PDF] 83 KB [PS] 206 KB Réalisation spectrale des Zéros de Zéta (1998 - 1999) [PDF] 123 KB [PS] 208 KB Algèbres de Hopf, Cohomologie Cyclique et Théorème de l'Indice transverse (1997 - 1998) [PS] 184 KB Opening Lecture (January 11, 1985) [PDF] 4.1 MB [PS] 5.2 MB Most Recent Papers La Pensée d'Evariste Galois et le Formalisme moderne [PDF] 259 KB [PS] 1.6 MB Available since June 6, 2005 Quantum Fields and Motives [PDF] 373 KB [PS] 355 KB With M. Marcolli Available since May 21, 2005 Renormalization, the Riemann-Hilbert correspondence and motivic Galois theory [PDF] 684 KB [PS] 1.3 MB

30. Alain Connes -- Official Web Site Alg¨bres d'op©rateurs, g©om©trie non commutative. http://www.ihes.fr/~connes/

Alain Connes Home Agenda Downloads Bibliography Curriculum Vitae ... Contact Information Alain Connes 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 More information Here you will find: information about future and recent talks and conferences , including lecture at the College of France. downloadable stuff , such as most recent papers and some older ones that are now available in electronic form. a complete and up-to-date bibliography that points to downloadable papers. To get in touch with Alain Connes, see the " Contact " section.

31. Connes, Alain --  Encyclopædia Britannica connes, alain French mathematician who won the Fields Medal in 1983 for his work in operator theory. ( e See /e the tbl artclid= 125559 tocid= 9125559 http://www.britannica.com/eb/article-9085773

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Alain Connes Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Connes, Alain  Encyclopædia Britannica Article Page 1 of 1 Alain Connes born April 1, 1947, Darguignan, France French mathematician who won the Fields Medal in 1983 for his work in operator theory. ( See the table of Fields Medalists.) University of Paris Connes, Alain... (75 of 269 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Connes, Alain."

32. National Academy Of Sciences - Members connes, alain Institut des Hautes Etudes Scientifiques. connes received the Fields Medal in 1982 for his epochmaking work on operator algebras in Hilbert http://www4.nationalacademies.org/nas/naspub.nsf/(urllinks)/NAS-58N3VX?opendocum

33. Connes Biography of alain connes (19470BC) alain connes was born in Draguignan, a town near Cannes in the Provence- Alpes- Côte- d Azur region of southeast http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Connes.html

Alain Connes Born: 1 April 1947 in Draguignan, Var, France Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Alain Connes A classification of factors of type III was on operator algebras, in particular on von Neumann Connes's work is on operator algebras and it is put in contect by Moore [5]:- To place Alain Connes's fundamental and pioneering contributions to operator algebras in context, recall that von Neumann and Murray in the and s were led by, among other things, the spectral theory of operators on Hilbert space, and by considerations of constructing mathematical models for quantum mechanical systems , to introduce what they called rings of operators - since renamed von Neumann algebras. ... One of the main problems has been and remains the classification of these algebras as intrinsic algebraic and topological objects. In [5] Moore describes Connes' thesis as:- ... already a major, stunning breakthrough in the classification problem. One of the first major international distinctions for Connes was an invitation to give one of the invited lectures at the International Congress in Helsinki in 1978. Four years later the award of a

34. References For Connes References for the biography of alain connes. H Araki, The work of alain connes, Proceedings of the International Congress of Mathematicians, Warsaw, http://www-gap.dcs.st-and.ac.uk/~history/References/Connes.html

References for Alain Connes Version for printing Biography in Encyclopaedia Britannica. available on the Web Articles: H Araki, The work of Alain Connes, Proceedings of the International Congress of Mathematicians, Warsaw, 1983 (Warsaw, 1984), 3-10. H Araki, Profiles of 1982 Fields Medal winners (Japanese), Sugaku J Mi, The work of mathematicians awarded the Fields Medal in 1983 and 1986 (Chinese), J. Northwest Univ. C C Moore, The work of Alain Connes, Notices Amer. Math. Soc. A K Seda, One aspect of the work of Alain Connes, Irish Math. Soc. Newslett. No. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1998 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Connes.html

35. Alain Connes You are being redirected to alain connes home page at http//www.alainconnes.org/. If you would like to view the web pages related to alain connes http://www.math.ohio-state.edu/lectures/connes/

You are being redirected to Alain Connes' home page at http://www.alainconnes.org/ . If you would like to view the web pages related to Alain Connes' lectures on the Riemann zeta function during his visit to Ohio State in Autumn 1998, please click on the following link: http://math.ohio-state.edu/lectures/connes/Connes.html

36. Distinguished Guests - The Library, The Abdus Salam ICTP connes, alain (b.1947, Draguignan, France). Fields Medallist 1982 link. For his contributions to the theory of operator algebras, particularly the general http://library.ictp.trieste.it/FP-DB/detail.php?ID=127

37. CONNES, ALAIN - CIRS http://www.cirs-tm.org/researchers/researchers.php?id=258

38. Encyclopaedia Britannica Entry connes, alain. Born April 1, 1947, Darguignan, France. French mathematician who won the Fields Medal in 1983 for his work in operator theory. http://www.aam314.vzz.net/EB/Connes.html

Connes, Alain Born: April 1, 1947, Darguignan, France French mathematician who won the Fields Medal in 1983 for his work in operator theory. Connes received his doctorate from the University of Paris VI in 1973. He held appointments at the National Centre for Scientific Research, Paris (1970-74); Queen's University at Kingston in Canada (1974-75); the University of Paris VI (1975-77); the Institute for Advanced Study, Princeton, N.J., U.S. (1978-79); and the Institute of Advanced Scientific Studies, Bures-sur-Yvette, France (1979- ). Connes received the Fields Medal at the International Congress of Mathematicians in Warsaw in 1983. The study of von Neumann algebras-i.e., special algebras of all bounded linear operators on a Hilbert space-began in the 1930s, when their factors were classified, although technical problems remained open until the late '60s, when there was a resurgence of interest. Connes unified a number of concepts in the area that had earlier been considered disparate. He also worked on the application of operator algebras to differential geometry, developing an index theorem analogous to the well-known Atiyah-Singer index theorem. Connes's later work had significant and deep implications in ergodic theory. Connes's publications include GŽomŽtrie non commutative (1990; "Noncommutative Geometry") and

39. Alain Connes' Publications Edited by alain connes, Michel Duflo, Anthony Joseph and Rudolf Rentschler. Progress in Mathematics, 92. Birkhäuser Boston, Inc., Boston, MA, http://www.math.vanderbilt.edu/~alain/Connes_publications.html

Alain Connes LIST OF PUBLICATIONS 27 pp. Ultrapuissances et applications dans le cadre de l'analyse non standard. 1970 Fasc. 1, Exp. 8, 25 pp. 7 pp. Une classification des facteurs de type III. 11 pp. The group property of the invariant S of von Neumann algebras. Math. Scand. (1973), 187-192 (1974). [with Alfons van Daele] Une classification des facteurs de type III. Bull. Sci. Math. (2) Flots des poids sur les facteurs de type III. (1974), 945-948. [with Masamichi Takesaki] Almost periodic states and factors of type III J. Functional Analysis (1974), 189-191. [with Edward J. Woods] Ann. Inst. Fourier (Grenoble) (1974), no. 4, x, 121-155 (1975). A factor not anti-isomorphic to itself. Ann. Math. (2) On hyperfinite factors of type III and Krieger's factors. J. Functional Analysis Sur la classification des facteurs de type II. (1975), no. 1, Aii, A13-A15. Classification of automorphisms of hyperfinite factors of type II Bull. Amer. Math. Soc. (1975), no. 6, 1090-1092. Outer conjugacy classes of automorphisms of factors. (1975), no. 3, 383-419.

40. Sci.math FAQ: Fields Medal Daniel Orange, NJ USA 38 1982 connes, alain Draguignan France 35 1982 Thurston, Daniel MIT USA 1982 connes, alain IHES France 1982 Thurston, http://www.cs.uu.nl/wais/html/na-dir/sci-math-faq/fieldsmedal.html

Note from archiver cs.uu.nl: This page is part of a big collection of Usenet postings, archived here for your convenience. For matters concerning the content of this page , please contact its author(s); use the source , if all else fails. For matters concerning the archive as a whole, please refer to the archive description or contact the archiver. Subject: sci.math FAQ: Fields Medal This article was archived around: 17 Feb 2000 22:52:00 GMT All FAQs in Directory: sci-math-faq All FAQs posted in: sci.math Source: Usenet Version Archive-name: sci-math-faq/fieldsmedal Last-modified: February 20, 1998 Version: 7.5 http://www.math.toronto.edu/fields.html http://www.cs.unb.ca/~alopez-o Assistant Professor Faculty of Computer Science University of New Brunswick

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