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Noncommutative geometry and global analysis : [electronic resource] conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany / Alain Connes ... [et al.], editors.

Contributor(s): Moscovici, Henri, 1944- | Connes, AlainMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 546.Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (xx, 315 p.)ISBN: 9780821882252 (online)Subject(s): Commutative rings -- Congresses | Noncommutative algebras -- Congresses | Global analysis (Mathematics) -- Congresses | Commutative algebra -- Arithmetic rings and other special rings -- Witt vectors and related rings | Algebraic geometry -- Local theory -- Singularities | Associative rings and algebras -- Homological methods -- (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications | $K$-theory -- $K$-theory and operator algebras -- Index theory | $K$-theory -- Higher algebraic $K$-theory -- $K$-theory and homology; cyclic homology and cohomology | Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations. $2 msc | Global analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Noncommutative geometry (�aa la Connes). $2 msc | Differential geometry -- Global differential geometry -- Rigidity results. $2 msc | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Noncommutative global analysis, noncommutative residues. $2 mscAdditional physical formats: Noncommutative geometry and global analysis :DDC classification: 512/.44 LOC classification: QA251.3 | .N664 2011Other classification: 13F35 | 14B05 | 16E40 | 16T05 | 19K56 | 19D55 | 22E46 | 58B34 | 53C24 | 58J42 Online resources: Contents | Contents

Contents:

Dirac cohomology and unipotent representations of complex groups / Dan Barbasch and Pavle Pand�zi�c -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10782 Algebraic index theorem for symplectic deformations of gerbes / Paul Bressler, Alexander Gorokhovsky, Ryszard Nest and Boris Tsygan -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10783 Index theory for basic Dirac operators on Riemannian foliations / Jochen Br�uning, Franz W. Kamber and Ken Richardson -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10784 The Witt construction in characteristic one and quantization / Alain Connes -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10785 Lie prealgebras / Michel Dubois-Violette and Giovanni Landi -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10786 On the analogy between complex semisimple groups and their Cartan motion groups / Nigel Higson -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10787 A survey on Hopf-cyclic cohomology and Connes-Moscovici characteristic map / Atabey Kaygun -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10788 A super version of the Connes-Moscovici Hopf algebra / Masoud Khalkhali and Arash Pourkia -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10789 Analytic torsion of $\Bbb Z_2$-graded elliptic complexes / Varghese Mathai and Siye Wu -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10790 The $K$-groups and the index theory of certain comparison $C^*$-algebras / Bertrand Monthubert and Victor Nistor -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10791 Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle / Hitoshi Moriyoshi and Paolo Piazza -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10792 Two exact sequences for lattice cohomology / Andr�as N�emethi -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10793 Cup products in Hopf cyclic cohomology with coefficients in contramodules / Bahram Rangipour -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10794 Algebras of $p$-symbols, noncommutative $p$-residue, and the Brauer group / Mariusz Wodzicki -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10795 Large scale geometry and its applications / Guoliang Yu -- http://www.ams.org/conm/546/ http://dx.doi.org/10.1090/conm/546/10796

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11828

Includes bibliographical references.

Dirac cohomology and unipotent representations of complex groups / Dan Barbasch and Pavle Pand�zi�c -- Algebraic index theorem for symplectic deformations of gerbes / Paul Bressler, Alexander Gorokhovsky, Ryszard Nest and Boris Tsygan -- Index theory for basic Dirac operators on Riemannian foliations / Jochen Br�uning, Franz W. Kamber and Ken Richardson -- The Witt construction in characteristic one and quantization / Alain Connes -- Lie prealgebras / Michel Dubois-Violette and Giovanni Landi -- On the analogy between complex semisimple groups and their Cartan motion groups / Nigel Higson -- A survey on Hopf-cyclic cohomology and Connes-Moscovici characteristic map / Atabey Kaygun -- A super version of the Connes-Moscovici Hopf algebra / Masoud Khalkhali and Arash Pourkia -- Analytic torsion of $\Bbb Z_2$-graded elliptic complexes / Varghese Mathai and Siye Wu -- The $K$-groups and the index theory of certain comparison $C^*$-algebras / Bertrand Monthubert and Victor Nistor -- Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle / Hitoshi Moriyoshi and Paolo Piazza -- Two exact sequences for lattice cohomology / Andr�as N�emethi -- Cup products in Hopf cyclic cohomology with coefficients in contramodules / Bahram Rangipour -- Algebras of $p$-symbols, noncommutative $p$-residue, and the Brauer group / Mariusz Wodzicki -- Large scale geometry and its applications / Guoliang Yu --