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Quanta of maths : conference in honor of Alain Connes, non commutative geometry, Institut Henri Poincaré, Institut des hautes études scientifiques, Institut de mathématiques de Jussieu, Paris, France, March 29-April 6, 2007

Author: Alain Connes; Etienne Blanchard; Institut Henri Poincaré.; Institut des hautes études scientifiques (Paris, France); Institut de mathématiques de Jussieu.
Publisher: Providence, R.I. : American Mathematical Society ; Cambridge, MA : Clay Mathematics Institute, ©2010.
Series: Clay mathematics proceedings, v. 11.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Alain Connes; Etienne Blanchard; Institut Henri Poincaré.; Institut des hautes études scientifiques (Paris, France); Institut de mathématiques de Jussieu.
ISBN: 9780821852033 0821852035
OCLC Number: 660801375
Description: xvii, 675 pages : illustrations ; 26 cm.
Contents: A geometric description of equivariant K-homology for proper actions / Paul Baum, Nigel Higson and Thomas Schick --
The planar algebra of diagonal subfactors / Dietmar Bisch, Paramita Das and Shamindra Kumar Ghosh --
K₁-injectivity for properly infinite C*-algebras / Étienne Blanchard --
Families of monads and instantons from a noncommutative ADHM construction / Simon Brain and Giovanni Landi --
Cyclic theory for commutative differential graded algebras and S-cohomology / Dan Burghelea --
Vinberg algebras, lie groups and combinatorics / Pierre Cartier --
Noncommutative geometry as the key to unlock the secrets of space-time / Ali H. Chamseddine --
The regular C*-algebra of an integral domain / Joachim Cuntz and Xin Liu --
Noncommutative coordinate algebras / Michel Dubois-Violette --
Random matrices, free probability, planar algebras and subfactors / A. Guionnet, V.F.R. Jones, D. Shlyakhtenko --
The tangent groupoid and the index theorem / Nigel Higson --
Le théorème de périodicité en K.-théorie hermitienne / Max Karoubi - A short survey of cyclic cohomology / Masoud Khalkhali --
The core Hopf algebra / Dirk Kreimer --
Propriété renforcées et conjecture de Baum-Connes / Vincent Lafforgue --
Combinatorial Hopf algebras / J.-L. Loday and M. Ronco --
Cyclotomy and analytical geometry over F₁ / Yuri I. Manin --
Motivic renormalization and singularities / Matilde Marcolli --
Free groups and reduced 1-cohomology of unitary representations / Florian Martin and Alain Valette --
Local index formula and twisted spectral triples / Henri Moscovici --
Observables in quantum gravity / Alejandro Perez and Carlo Rovelli --
On the fundamental group of II₁ factors and equivalence relations arising from group actions / Sorin Popa and Stefaan Vaes --
Leibniz seminorms for "Matrix algebras converge to the sphere" / Marc A. Rieffel --
Structured vector bundles define differential K-theory / James Simons and Dennis Sullivan --
Entropy in operator algebras / Erling Størmer --
Non-compact spectral triples with finite volume / Raimar Wulkenhaar --
A characterization of the image of the Baum-Connes map / Guoliang Yu --
Quantum modular forms / Don Zagier.
Series Title: Clay mathematics proceedings, v. 11.
Responsibility: Etienne Blanchard [and others], editors.

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