Robert Sims, University of Arizona, Tucson, AZ,
and Daniel Ueltschi, University of Warwick, Coventry, United Kingdom

Entropy and the Quantum II

ISBN: 978-0-8218-6898-0
Series,Contemporary Mathematics, Volume 552
Published: 1 October 2011; Pages: 224; Softcover

Subject Classification

Mathematical Physics
Analysis

Readership:

Graduate students and research mathematicians interested in mathematical physics and analysis.

Description:

The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition.

In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdo?s, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Gunter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.

Mark Agranovsky, Bar-Ilan University, Ramat-Gan, Israel, Matania Ben-Artzi, Hebrew University, Jerusalem, Israel, Greg Galloway, University of Miami, Coral Cables, FL, Lavi Karp, ORT Braude College, Karmiel, Israel, Simeon Reich, Technion, Haifa, Israel, David Shoikhet, ORT Braude College, Karmiel, Israel, Gilbert Weinstein, University of Alabama at Birmingham, AL, and Lawrence Zalcman, Bar-Ilan University, Ramat-Gan, Israel

Complex Analysis and Dynamical Systems IV
Part 1. Function Theory and Optimization

ISBN: 978-0-8218-5196-8
Series, Contemporary Mathematics, Volume 553
Published: 29 October 2011; Copyright Year: 2011; Pages: 317; Softcover;

Readership:

Graduate students and research mathematicians interested in complex analysis, quasi-conformal mappings, dynamical systems, and control theory.

Description:

The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of Lie groups, control theory, and optimization. Taken together, the articles provide the reader with a panorama of activity in complex analysis and quasiconformal mappings, drawn by a number of leading figures in the field.

The companion volume (Contemporary Mathematics, Volume 554) is devoted to general relativity, geometry, and PDE.
Information for our distributors: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Mark Agranovsky, Bar-Ilan University, Ramat-Gan, Israel, Matania Ben-Artzi, Hebrew University, Jerasulem, Israel, Greg Galloway, University of Miami, Coral Gables, FL, Lavi Karp, ORT Braude College, Karmiel, Israel, Simeon Reich, Technion, Haifa, Israel, David Shoikhet, ORT Braude College, Karmiel, Israel, Gilbert Weinstein, University of Alabama at Birmingham, AL, and Lawrence Zalcman, Bar-Ilan University, Ramat-Gan, Israel

Complex Analysis and Dynamical Systems IV
Part 2. General Relativity, Geometry, and PDE

ISBN: 978-0-8218-5197-5
Contemporary Mathematics, Volume 554
Published: 30 October 2011; Copyright Year: 2011; Pages: 284; Softcover

Subject Classification

Analysis
Differential Equations
Mathematical Physics

Readership:

Graduate students and research mathematicians interested in complex analysis, PDE, and general relativity.

Description:

The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field.

The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.
Information for our distributors: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Michael Usher, University of Georgia, Athens, GA,

Low-Dimensional and Symplectic Topology

ISBN: 978-0-8218-5235-4
Proceedings of Symposia in Pure Mathematics, Volume 82

Published: 16 November 2011; Copyright Year: 2011; Pages: approximately 231; Hardcover

Subject Classification

Geometry and Topology

Readership:

Graduate students and research mathematicians interested in geometric topology, including knot theory, contact and symplectic topology, 3-manifolds, and geometric group theory.

Description:

Every eight years since 1961, the University of Georgia has hosted a major international topology conference aimed at disseminating important recent results and bringing together researchers at different stages of their careers.
This volume contains the proceedings of the 2009 conference, which includes survey and research articles concerning such areas as knot theory, contact and symplectic topology, 3-manifold theory, geometric group theory, and equivariant topology.
Among other highlights of the volume, a survey article by Stefan Friedl and Stefano Vidussi provides an accessible treatment of their important proof of Taubes’ conjecture on symplectic structures on the product of a 3-manifold and a circle, and an intriguing short article by Dennis Sullivan opens the door to the use of modern algebraic-topological techniques in the study of finite-dimensional models of famously difficult problems in fluid dynamics.

Continuing what has become a tradition, this volume contains a report on a problem session held at the conference, discussing a variety of open problems in geometric topology.