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Regulators in Analysis, Geometry and Number Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 142/5 ( reviews)

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Book Synopsis Regulators in Analysis, Geometry and Number Theory by : Alexander Reznikov

Download or read book Regulators in Analysis, Geometry and Number Theory written by Alexander Reznikov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of the Workshop on "Regulators in Analysis, Geom etry and Number Theory" held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996. During the preparation and the holding of the workshop we were greatly helped by the director of the Landau Center: Lior Tsafriri during the time of the planning of the conference, and Hershel Farkas during the meeting itself. Organizing and running this workshop was a true pleasure, thanks to the expert technical help provided by the Landau Center in general, and by its secretary Simcha Kojman in particular. We would like to express our hearty thanks to all of them. However, the articles assembled in the present volume do not represent the proceedings of this workshop; neither could all contributors to the book make it to the meeting, nor do the contributions herein necessarily reflect talks given in Jerusalem. In the introduction, we outline our view of the theory to which this volume intends to contribute. The crucial objective of the present volume is to bring together concepts, methods, and results from analysis, differential as well as algebraic geometry, and number theory in order to work towards a deeper and more comprehensive understanding of regulators and secondary invariants. Our thanks go to all the participants of the workshop and authors of this volume. May the readers of this book enjoy and profit from the combination of mathematical ideas here documented.

Geometric Analysis and Applications to Quantum Field Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 679/5 ( reviews)

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Book Synopsis Geometric Analysis and Applications to Quantum Field Theory by : Peter Bouwknegt

Download or read book Geometric Analysis and Applications to Quantum Field Theory written by Peter Bouwknegt. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics, represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action functionals together with physical backgrounds (A. Harris) * A review of monopoles in nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students, mathematicians and mathematical physicists in the above-mentioned areas will benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient background material motivates each chapter.

Geometry and Dynamics of Groups and Spaces

2008-03-05 Mathematics
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Release : 2008-03-05
Genre : Mathematics
Kind : eBook
Book Rating : 088/5 ( reviews)

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Book Synopsis Geometry and Dynamics of Groups and Spaces by : Mikhail Kapranov

Download or read book Geometry and Dynamics of Groups and Spaces written by Mikhail Kapranov. This book was released on 2008-03-05. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Current Trends in Number Theory

2002-01-01 Mathematics
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Release : 2002-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 096/5 ( reviews)

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Book Synopsis Current Trends in Number Theory by : S.D. Adhikari

Download or read book Current Trends in Number Theory written by S.D. Adhikari. This book was released on 2002-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.

The Arithmetic of Dynamical Systems

2010-05-05 Mathematics
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Release : 2010-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 04X/5 ( reviews)

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Book Synopsis The Arithmetic of Dynamical Systems by : J.H. Silverman

Download or read book The Arithmetic of Dynamical Systems written by J.H. Silverman. This book was released on 2010-05-05. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.

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