This volume represents the proceedings of the conference on Noncommutative Geometric Methods in Global Analysis, held in honor of Henri Moscovici, from June 29-July 4, 2009, in Bonn, Germany. Henri Moscovici has made a number of major contributions to noncommutative geometry, global analysis, and representation theory. This volume, which includes articles by some of the leading experts in these fields, provides a panoramic view of the interactions of noncommutative geometry with a variety of areas of mathematics. It focuses on geometry, analysis and topology of manifolds and singular spaces, index theory, group representation theory, connections of noncommutative geometry with number theory and arithmetic geometry, Hopf algebras and their cyclic cohomology.
| Introduction |
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vii | |
| Conference Talks |
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xi | |
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xix | |
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Dirac cohomology and unipotent representations of complex groups |
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1 | (22) |
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Algebraic index theorem for symplectic deformations of gerbes |
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23 | (16) |
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Index theory for basic Dirac operators on Riemannian foliations |
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39 | (44) |
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The Witt construction in characteristic one and quantization |
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83 | (32) |
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115 | (22) |
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On the analogy between complex semisimple groups and their Cartan motion groups |
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137 | (34) |
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A survey on Hopf-cyclic cohomology and Connes-Moscovici characteristic map |
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171 | (10) |
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A super version of Connes-Moscovici Hopf algebra |
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181 | (18) |
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Analytic torsion of Z2-graded elliptic complexes |
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199 | (14) |
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The K-groups and the index theory of certain comparison C-algebras |
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213 | (12) |
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Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle |
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225 | (24) |
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Two exact sequences for lattice cohomology |
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249 | (22) |
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Cup products in Hopf cyclic cohomology with coefficients in contramodules |
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271 | (12) |
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Algebras of p-symbols, noncommutative p-residue, and the Brauer group |
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283 | (22) |
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Large scale geometry and its applications |
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305 | |
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Alain Connes, College de France, Paris, France,||Alexander Gorokhovsky, University of Colorado, Boulder, CO,|Matthias Lesch, Universitat Bonn, Germany,|Markus Pflaum, University of Colorado, Boulder, CO|Bahram Rangipour, University of New Brunswick, Fredericton, NB, Canada, Editor
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