Stratified Noncommutative Geometry
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Stratified Noncommutative Geometry
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Author : David Ayala
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07
Stratified Noncommutative Geometry written by David Ayala and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
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Surveys In Noncommutative Geometry
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Author : Nigel Higson
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Surveys In Noncommutative Geometry written by Nigel Higson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. These events were held at Mount Holyoke College in Massachusetts from June 18 to 29, 2000. The Instructional Symposium consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Those expository lectures have been edited and are reproduced in this volume. The lectures of Rosenberg and Weinberger discuss various applications of noncommutative geometry to problems in ordinary geometry and topology. The lectures of Lagarias and Tretkoff discuss the Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory. Higson gives an account of the residue index theorem of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single mathematician, Alain Connes. The present volume gives an extended introduction to several aspects of Connes' work in this fascinating area.
Analytic And Geometric Study Of Stratified Spaces
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Author : Markus J. Pflaum
language : en
Publisher: Springer
Release Date : 2003-07-01
Analytic And Geometric Study Of Stratified Spaces written by Markus J. Pflaum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.
The book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry.
Noncommutative Geometry
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Author : Alain Connes
language : en
Publisher: Springer
Release Date : 2003-12-15
Noncommutative Geometry written by Alain Connes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Mathematics categories.
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
Equivariant Topology And Derived Algebra
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Author : Scott Balchin
language : en
Publisher: Cambridge University Press
Release Date : 2022
Equivariant Topology And Derived Algebra written by Scott Balchin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Mathematics categories.
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Noncommutative Geometry And Global Analysis
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Author : Henri Moscovici
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Noncommutative Geometry And Global Analysis written by Henri Moscovici and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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.
C Algebras And Elliptic Theory Ii
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Author : Dan Burghelea
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-18
C Algebras And Elliptic Theory Ii written by Dan Burghelea and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-18 with Mathematics categories.
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.
On The Nodal Set Of Solutions To A Class Of Nonlocal Parabolic Equations
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Author : Alessandro Audrito
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-23
On The Nodal Set Of Solutions To A Class Of Nonlocal Parabolic Equations written by Alessandro Audrito and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-23 with Mathematics categories.
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The Strong K Nneth Theorem For Topological Periodic Cyclic Homology
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Author : Andrew J. Blumberg
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-23
The Strong K Nneth Theorem For Topological Periodic Cyclic Homology written by Andrew J. Blumberg and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-23 with Mathematics categories.
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Symbolic Dynamics For Nonuniformly Hyperbolic Maps With Singularities In High Dimension
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Author : Ermerson Araujo
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-23
Symbolic Dynamics For Nonuniformly Hyperbolic Maps With Singularities In High Dimension written by Ermerson Araujo and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-23 with Mathematics categories.
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