Authors:Hermann Brunner, Xiao-Qiang Zhao, Xingfu Zou,
Publisher: American Mathematical Society/Fields Institute for Research in Mathematical Sciences
Keywords: institute, communications, fields, equations, dynamics, evolution, nonlinear
Number of Pages: 311
Published: 2006-04-19
List price: $109.00
ISBN-10: 0821837214
ISBN-13: 9780821837214

The papers in this volume reflect a broad spectrum of current research activities on the theory and applications of nonlinear dynamics and evolution equations. They are based on lectures given during the International Conference on Nonlinear Dynamics and Evolution Equations at Memorial University of Newfoundland, St. John’s, NL, Canada, July 6-10, 2004. This volume contains thirteen invited and refereed papers. Nine of these are survey papers, introducing the reader to, and describing the current state of the art in major areas of dynamical systems, ordinary, functional and partial diffe

Author: Wayne Nagata and N. Sri Namachchivaya
Publisher: American Mathematical Society/Fields Institute for Research in Mathematical Sciences
Keywords: fields, institute, communications, formation, pattern, theory, spatio, temporal, bifurcation
Number of Pages: 177
Published: 2006-10-03
List price: $59.00
ISBN-10: 0821837257
ISBN-13: 9780821837252

Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert’s 16th problem. Most of the book cons

Authors:Aad Dijksma, Heinz Langer, Michael A. Dritschel, J
Publisher: American Mathematical Society, Fields Institute
Keywords: institute, monographs, fields, applications, operator, theory, lectures
Number of Pages: 339
Published: 1995-12-13
List price: $114.00
ISBN-10: 082180457X
ISBN-13: 9780821804575

Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavor. A good example is the large and amorphous body of knowledge known as ``the theory of linear operators’’ or ``operator theory’’, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear o

Author: Clifton Cunningham and Monica NevinsClifton Cunni
Publisher: American Mathematical Society, Fields Institute
Keywords: groups, fields, institute, monographs, adic, reductive, lectures, admissible, representations, ottawa
Number of Pages: 199
Published: 2009-06-06
List price: $69.00
ISBN-10: 0821844938
ISBN-13: 9780821844939

Ottawa Lectures offers researchers and graduate students a rare introduction to some of the major modern themes in the representation theory of $p$-adic groups: the classification and construction of their (complex) admissible representations, the calculation of their characters, and the realization of the celebrated local Langlands correspondence. Recent years have seen significant and rapid progress made toward each of these goals; the purpose of this book is to help bridge the gap from the classical literature to the forefront of research. The first part of this volume is devoted to the too

Author: Jeremy P. Spinrad
Publisher: American Mathematical Society, Fields Institute
Keywords: institute, monographs, fields, representations, graph, efficient
Number of Pages: 342
Published: 2003-06-01
List price: $100.00
ISBN-10: 0821828150
ISBN-13: 9780821828151

This monograph is the first to deal with graph representation as a field of study. It is written from both a mathematical and computer science perspective. Synthesizing the two traditions opens a number of interesting new research areas. Some individual classes of graphs are important but are not adequately covered in any current text. This book gives a much more current view of important algorithmic developments in intersection graph classes than is currently available and includes a large number of new open problems. It deals with the questions that arise from storing a graph in a computer.

Author: Christian Meyer
Publisher: American Mathematical Society, Fields Institute
Keywords: institute, monographs, fields, threefolds, calabi, yau, modular
Number of Pages: 194
Published: 2005-11-02
List price: $62.00
ISBN-10: 082183908X
ISBN-13: 9780821839089

This book discusses the connection between Calabi-Yau threefolds and modular forms. It presents the general theory and brings together the known results. Hundreds of new examples are given of rigid and non-rigid Calabi-Yau threefolds, and the construction of correspondences between them leads to conjectures about the modular forms involved. The author has compiled tables of newforms of weight four and large levels, which are included in the appendix. The great variety of new examples as well as the tables of newforms makes this volume a valuable resource for graduate students and researchers i

Author: Salma Kuhlmann
Publisher: American Mathematical Society, Fields Institute
Keywords: fields, monographs, institute, ordered, exponential
Number of Pages: 166
Published: 1999-12-07
List price: $56.00
ISBN-10: 0821809431
ISBN-13: 9780821809433

Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profound applications in other areas of mathematics, notably in algebraic geometry and in singularity theory. Since Wilkie’s results on the o-minimality of the expansion of the reals by the exponential function, and most recently even by all Pfaffian functions, the study of o-minimal expansions of the reals has become a fascinating topic. The quest for analogies between the semi-algebraic case and the o-minimal case has set a direction to this research. Through the Artin-Schreier Theory of real