Frontiers in Number Theory, Physics, and Geometry II
Frontiers in Number Theory, Physics, and Geometry II

Author: Pierre E. Cartier

Publisher: Springer Science & Business Media

Published: 2007-07-18

Total Pages: 806

ISBN-13: 3540303081

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Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Frontiers in Number Theory, Physics, and Geometry I
Frontiers in Number Theory, Physics, and Geometry I

Author: Pierre Cartier

Publisher:

Published: 2006

Total Pages: 664

ISBN-13:

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This text (together with a forthcoming second volume) presents most of the courses and seminars delivered at the meeting entitled "Frontiers in number theory, physics and geometry" which took place at the Centre de Physique des Houches in the French Alps, March 9-12, 2003.

Geometry and Physics: Volume I
Geometry and Physics: Volume I

Author: Jørgen Ellegaard Andersen

Publisher: Oxford University Press

Published: 2018-10-18

Total Pages: 400

ISBN-13: 0192522361

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Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

Mathematics: Frontiers and Perspectives
Mathematics: Frontiers and Perspectives

Author: Vladimir Igorevich Arnolʹd

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 476

ISBN-13: 9780821826973

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A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.

Author:

Publisher: World Scientific

Published:

Total Pages: 1001

ISBN-13:

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An Invitation To Noncommutative Geometry
An Invitation To Noncommutative Geometry

Author: Matilde Marcolli

Publisher: World Scientific

Published: 2008-02-11

Total Pages: 515

ISBN-13: 9814475629

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This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.

Crossed Products by Hecke Pairs
Crossed Products by Hecke Pairs

Author: Rui Palma

Publisher: American Mathematical Soc.

Published: 2018-03-19

Total Pages: 156

ISBN-13: 1470428091

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The author develops a theory of crossed products by actions of Hecke pairs , motivated by applications in non-abelian -duality. His approach gives back the usual crossed product construction whenever is a group and retains many of the aspects of crossed products by groups. The author starts by laying the -algebraic foundations of these crossed products by Hecke pairs and exploring their representation theory and then proceeds to study their different -completions. He establishes that his construction coincides with that of Laca, Larsen and Neshveyev whenever they are both definable and, as an application of his theory, he proves a Stone-von Neumann theorem for Hecke pairs which encompasses the work of an Huef, Kaliszewski and Raeburn.

Noncommutative Cosmology
Noncommutative Cosmology

Author: Matilde Marcolli

Publisher: World Scientific

Published: 2017-12-26

Total Pages: 292

ISBN-13: 9813202866

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Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity.

Geometry, Groups and Dynamics
Geometry, Groups and Dynamics

Author: C. S. Aravinda

Publisher: American Mathematical Soc.

Published: 2015-05-01

Total Pages: 386

ISBN-13: 0821898825

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This volume contains the proceedings of the ICTS Program: Groups, Geometry and Dynamics, held December 3-16, 2012, at CEMS, Almora, India. The activity was an academic tribute to Ravi S. Kulkarni on his turning seventy. Articles included in this volume, both introductory and advanced surveys, represent the broad area of geometry that encompasses a large portion of group theory (finite or otherwise) and dynamics in its proximity. These areas have been influenced by Kulkarni's ideas and are closely related to his work and contribution.

Universality and Renormalization
Universality and Renormalization

Author: Ilia Binder

Publisher: American Mathematical Soc.

Published:

Total Pages: 424

ISBN-13: 9780821871539

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This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic. Information for our distributors: Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).