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Author: S. G. Dani
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 404
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Book Description
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.
Author: S. G. Dani
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 404
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Book Description
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.
Author: Robert J. Zimmer
Publisher: University of Chicago Press
ISBN: 022656827X
Category : Mathematics
Languages : en
Pages : 724
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Book Description
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.
Author: T. N. Venkataramana
Publisher: Alpha Science International, Limited
ISBN:
Category : Mathematics
Languages : en
Pages : 270
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Book Description
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.
Author: W. W. L. Chen
Publisher: Cambridge University Press
ISBN: 0521515386
Category : Mathematics
Languages : en
Pages : 493
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Book Description
A collection of papers inspired by the work of Britain's first Fields Medallist, Klaus Roth.
Author: B. S. Kesavan
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1272
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1270
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Book Description
Author: David Fisher
Publisher: University of Chicago Press
ISBN: 022680402X
Category : Mathematics
Languages : en
Pages : 573
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Book Description
"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"--
Author: Benson Farb
Publisher: American Mathematical Soc.
ISBN: 0821838385
Category : Mathematics
Languages : en
Pages : 384
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Book Description
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.
Author: R.J. Zimmer
Publisher: Springer Science & Business Media
ISBN: 1468494880
Category : Mathematics
Languages : en
Pages : 219
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Book Description
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.
Author: Alberto Verjovski
Publisher: #N/A
ISBN: 981456964X
Category :
Languages : en
Pages : 744
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Book Description
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.
