Proceedings Of The International Colloquium On Lie Groups And Ergodic Theory Mumbai 1996

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Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996

Author : S. G. Dani
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996 by : S. G. Dani

Download or read book Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996 written by S. G. Dani and published by . This book was released on 1998 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from an international colloquium on Lie groups and ergodic theory held at the Tata Institute of Fundamental Research (TIFR) in Mumbai, India. Designated a Golden Jubilee event at the Institute, this was one of the quadrennial colloquia of the School of Mathematics. There were 24 talks given by participants in Lie groups, ergodic theory and related fields. Leading mathematicians from around the world attended. Recent developments were presented and a session was devoted to discussion and problems for future research.

Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996

Author : S. G. Dani
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996 by : S. G. Dani

Group Actions in Ergodic Theory, Geometry, and Topology

Author : Robert J. Zimmer
Publisher : University of Chicago Press
ISBN 13 : 022656813X
Total Pages : 724 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Group Actions in Ergodic Theory, Geometry, and Topology by : Robert J. Zimmer

Download or read book Group Actions in Ergodic Theory, Geometry, and Topology written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2019-12-23 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

Proceedings of the International Conference on Cohomology of Arithmetic Groups, L-Functions, and Automorphic Forms

Author : T. N. Venkataramana
Publisher : Alpha Science International, Limited
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Proceedings of the International Conference on Cohomology of Arithmetic Groups, L-Functions, and Automorphic Forms by : T. N. Venkataramana

Download or read book Proceedings of the International Conference on Cohomology of Arithmetic Groups, L-Functions, and Automorphic Forms written by T. N. Venkataramana and published by Alpha Science International, Limited. This book was released on 2001 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers is based on lectures delivered at the Tata Institute of Fundamental Research (TIFR) as part of a special year on arithmetic groups, $L$-functions and automorphic forms. The volume opens with an article by Cogdell and Piatetski-Shapiro on Converse Theorems for $GL_n$ and applications to liftings. It ends with some remarks on the Riemann Hypothesis by Ram Murty. Other talks cover topics such as Hecke theory for Jacobi forms, restriction maps and $L$-values, congruences for Hilbert modular forms, Whittaker models for $p$-adic $GL(4)$, the Seigel formula, newforms for the Maass Spezialchar, an algebraic Chebotarev density theorem, a converse theorem for Dirichlet series with poles, Kirillov theory for $GL_2(\mathcal{D})$, and the $L^2$ Euler characteristic of arithmetic quotients. The present volume is the latest in the Tata Institute's tradition of recognized contributions to number theory.

Analytic Number Theory

Author : W. W. L. Chen
Publisher : Cambridge University Press
ISBN 13 : 0521515386
Total Pages : 493 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Analytic Number Theory by : W. W. L. Chen

Download or read book Analytic Number Theory written by W. W. L. Chen and published by Cambridge University Press. This book was released on 2009-02-19 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers inspired by the work of Britain's first Fields Medallist, Klaus Roth.

Indian National Bibliography

Author : B. S. Kesavan
Publisher :
ISBN 13 :
Total Pages : 1272 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Indian National Bibliography by : B. S. Kesavan

Download or read book Indian National Bibliography written by B. S. Kesavan and published by . This book was released on 2000 with total page 1272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Actions in Ergodic Theory, Geometry, and Topology

Author : Robert J. Zimmer
Publisher : University of Chicago Press
ISBN 13 : 022656827X
Total Pages : 724 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Group Actions in Ergodic Theory, Geometry, and Topology by : Robert J. Zimmer

Dynamics, Geometry, Number Theory

Author : David Fisher
Publisher : University of Chicago Press
ISBN 13 : 022680402X
Total Pages : 573 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Dynamics, Geometry, Number Theory by : David Fisher

Download or read book Dynamics, Geometry, Number Theory written by David Fisher and published by University of Chicago Press. This book was released on 2022-02-07 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1270 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theory and Semisimple Groups

Author : R.J. Zimmer
Publisher : Springer Science & Business Media
ISBN 13 : 1468494880
Total Pages : 219 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Ergodic Theory and Semisimple Groups by : R.J. Zimmer

Download or read book Ergodic Theory and Semisimple Groups written by R.J. Zimmer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in semi simple groups, and related work of the author on the actions of semisimple groups and their lattice subgroups. In doing so, we develop the necessary prerequisites from earlier work of Borel, Furstenberg, Kazhdan, Moore, and others. One of the difficulties involved in an exposition of this material is the continuous interplay between ideas from the theory of algebraic groups on the one hand and ergodic theory on the other. This, of course, is not so much a mathematical difficulty as a cultural one, as the number of persons comfortable in both areas has not traditionally been large. We hope this work will also serve as a contribution towards improving that situation. While there are a number of satisfactory introductory expositions of the ergodic theory of integer or real line actions, there is no such exposition of the type of ergodic theoretic results with which we shall be dealing (concerning actions of more general groups), and hence we have assumed absolutely no knowledge of ergodic theory (not even the definition of "ergodic") on the part of the reader. All results are developed in full detail.

Problems on Mapping Class Groups and Related Topics

Author : Benson Farb
Publisher : American Mathematical Soc.
ISBN 13 : 0821838385
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Problems on Mapping Class Groups and Related Topics by : Benson Farb

Download or read book Problems on Mapping Class Groups and Related Topics written by Benson Farb and published by American Mathematical Soc.. This book was released on 2006-09-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.

Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures

Download Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814324353
Total Pages : 814 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures by :

Download or read book Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures written by and published by World Scientific. This book was released on 2011 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Theory From A Geometrical Viewpoint

Author : Alberto Verjovski
Publisher : #N/A
ISBN 13 : 981456964X
Total Pages : 744 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Group Theory From A Geometrical Viewpoint by : Alberto Verjovski

Download or read book Group Theory From A Geometrical Viewpoint written by Alberto Verjovski and published by #N/A. This book was released on 1991-08-12 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings presents the latest research materials done on group theory from geometrical viewpoint in particular Gromov's theory of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees. All these are very active subjects.

Handbook of Dynamical Systems

Author : B. Fiedler
Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Foundations of Probabilistic Programming

Author : Gilles Barthe
Publisher : Cambridge University Press
ISBN 13 : 110848851X
Total Pages : 583 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Foundations of Probabilistic Programming by : Gilles Barthe

Download or read book Foundations of Probabilistic Programming written by Gilles Barthe and published by Cambridge University Press. This book was released on 2020-12-03 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the theoretical underpinnings of modern probabilistic programming and presents applications in e.g., machine learning, security, and approximate computing. Comprehensive survey chapters make the material accessible to graduate students and non-experts. This title is also available as Open Access on Cambridge Core.

50th IMO - 50 Years of International Mathematical Olympiads

Author : Hans-Dietrich Gronau
Publisher : Springer Science & Business Media
ISBN 13 : 3642145655
Total Pages : 298 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis 50th IMO - 50 Years of International Mathematical Olympiads by : Hans-Dietrich Gronau

Download or read book 50th IMO - 50 Years of International Mathematical Olympiads written by Hans-Dietrich Gronau and published by Springer Science & Business Media. This book was released on 2011-01-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO provides an ideal opportunity to look back over the past five decades and to review its development to become a worldwide event. This book is a report about the 50th IMO as well as the IMO history. A lot of data about all the 50 IMOs are included. We list the most successful contestants, the results of the 50 Olympiads and the 112 countries that have ever taken part. It is impressive to see that many of the world’s leading research mathematicians were among the most successful IMO participants in their youth. Six of them gave presentations at a special celebration: Bollobás, Gowers, Lovász, Smirnov, Tao and Yoccoz. This book is aimed at students in the IMO age group and all those who have interest in this worldwide leading competition for highschool students.

Tensor Categories

Author : Pavel Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 1470434415
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tensor Categories by : Pavel Etingof

Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.