Stephen Berman

The University of Virginia (Charlottesville) hosted an international conference on Infinite-dimensional Aspects of Representation Theory and Applications. This volume contains papers resulting from the mini-courses and talks given at the meeting. Beyond the techniques and ideas related to representation theory, the book demonstrates connections to number theory, algebraic geometry, and mathematical physics. The specific topics covered include Hecke algebras, quantum groups, infinite-dimensional Lie algebras, quivers, modular representations, and Gromov-Witten invariants. The book is suitable for graduate students and researchers interested in representation theory.

International Conference on Infinite-Dimensional Aspects of Representation Theory and Applications, May 18-22, 2004, University of Virginia, Charlottesville, Virginia

Infinite-dimensional Aspects of Representation Theory and Applications

Vladimir Shpilrain

Sean Cleary

Alexei G. Myasnikov

Robert Gilman

This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compact Riemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

AMS Special Session, Combinatorial Group Theory, November 4-5, 2000, New York, New York : AMS Special Session, Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey

Combinatorial and Geometric Group Theory

On the Semantics and Logical Form of Wh-clauses

First published in 1994, this book is concerned with certain kinds of wh-clauses, whose interpretations are easily and, the author argues, plausibly rendered by a logicosemantic analysis on which wh-phrases translate as open sentences, that is, as expressions of the semantically interpreted representation which contain free variables. After a review of influential contemporary analyses of the semantics of questions, concentrating on issues related to the truthconditional interpretation of these constructions, the author goes on to analyse logicosemantic similarities between wh-phrases and indefinite NPs. This analysis is extended in chapter V to account for asymmetries between wh-phrases and indefinites, but is preceded by the engagement and refutation of some of the challenges to it. The appendices discuss some peripheral points relating to the central points made by the author which are in need of further study.

On the Semantics of Wh-Clauses

Lalit Bajaj

Berman's Pediatric Decision Making uses an algorithmic, structured approach to lead you to the right diagnosis and treatment every time. Drs. Lalit Baja, Simon Hambidge, Ann-Christine Nyquist, and Gwendolyn Kerby use evidence-based research and flow charts for each presenting complaint or specific disorder to provide quick access to the information you need for effective decision making. With updated drug tables, revised algorithms, and full-text online access at www.expertconsult.com, this streamlined new edition makes it even easier for you to diagnose and manage common clinical problems from infancy through adolescence. Rapidly access guidance on diagnosis and management from algorithms for each clinical disorder. Treat the full range of diseases and disorders with comprehensive coverage of diagnosis, assessment of severity, and clinical management. Choose the best treatment for each case thanks to indications for surgical interventions as well as expensive diagnostic procedures Access the fully searchable contents online at www.expertconsult.com. Stay current on recent developments and make effective decisions for movement disorders, physical abuse in children, sexual abuse in children, eating disorders, ADHD, and other hot topics. Find answers quickly and easily with a new table of contents organized into two sections-Presenting Complaints and Specific Disorders-that reduces the need to flip between chapters. Tap into the diverse perspectives of expert authors from all over the country. Get only the information you need in the streamlined new edition with shorter, more user-friendly flow diagrams and fewer specialized chapters. Make the right diagnosis every time with Dr. Berman's unique step-by-step guide

Berman's Pediatric Decision Making

Yi-Zhi Huang

Paul Fendley

Kailash Misra

Brian Parshall

Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ""Infinite-Dimensional Lie Theory and Conformal Field Theory"", held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field.This conference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlighted applications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.

Proceedings of an International Conference on Infinite-dimensional Lie Theory and Conformal Field Theory, May 23-27, 2000, University of Virginia, Charlottesville, Virginia

Recent Developments in Infinite-dimensional Lie Algebras and Conformal Field Theory

Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as ''string-theoretic analogues'' of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, ''Vertex Operator Algebras in Mathematics and Physics'', held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics.

Stephen Berman

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