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Bulletin of the American Mathematical Society
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A mad day's work: from Grothendieck to Connes and Kontsevich The evolution of concepts of space and symmetry

Author(s): Pierre Cartier
Journal: Bull. Amer. Math. Soc. 38 (2001), 389-408.
MSC (2000): Primary 00B25
Posted: July 12, 2001
MathSciNet review: 1848254
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References | Similar articles | Additional information

References:

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S. Doplicher and J. E. Roberts, ``Endomorphisms of $C^*$-algebras, cross-products and duality for compact groups,'' Ann. Math. (2) 130, 75-119 (1989). MR 90j:46058

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A. Grothendieck, ``Produits tensoriels topologiques et espaces nucléaires,'' Mem. Amer. Math. Soc. No. 16 (1955). MR 17:763c; Sem. Bourbaki, Vol. 2, Exp. No. 69, 193-200 (1995). CMP 98:09

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A. Grothendieck, ``Résumé de la théorie métrique des produits tensoriels topologiques,'' Bol. Soc. Mat. 8, São Paulo, 1-79 (1953). MR 20:1194

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M. Kontsevich, ``Quantization deformation of Poisson manifolds I,'' $q$-alg 9709040.

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A. Connes, Noncommutative Geometry, Academic Press (1994). MR 95j:46063

Supplementary Bibliography (added in proof)

[PC]
P. Cartier, ``Fonctions polylogarithmes, nombres polyzétas et groupes unipotents'' (to appear in the Bourbaki Seminar, year 2000-1).

[R]
T. Rivoal, ``La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs'', C.R. Acad. Sci. Paris, series I, 267-270 (2000). CMP 2001:02

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Additional Information:

Pierre Cartier
Affiliation: ENS-DMA, 45 rue d'Ulm, 75230 Paris Cedex 05, France
Email: cartier@ihes.fr

DOI: 10.1090/S0273-0979-01-00913-2
PII: S 0273-0979(01)00913-2
Keywords: Institut des Hautes \'Etudes Scientifiques, point, bundle, category, Boolean algebra, motive
Received by editor(s): August 15, 2000
Posted: July 12, 2001
Additional Notes: Translated from the French by Roger Cooke. This paper was written on the occasion of the 40th anniversary of the IHES (in 1998) and was included in the corresponding \emph{Festschrift} volume \emph{Les relations entre les mathématiques et la physique théorique} (distributed to the participants, but never published). We thank the IHES for permission to reprint it
Copyright of article: Copyright 2001, American Mathematical Society




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