An entirely new branch of science now known as Laser Control of Molecular Processes is steadily making an impact on the experimental and technological worlds, with internationally distinguished scientists making many outstanding contributions. In parallel, mathematicians from control theory and numerical simulation are getting progressively involved and making their contributions to this scientific endeavor. This volume presents the proceedings of the workshop, ''Quantum Control: Mathematical and Numerical Challenges'', held at the Centre de recherches mathematiques of the Universite de...

Superintegrable systems are integrable systems (classical and quantum) that have more integrals of motion than degrees of freedom. Such systems have many interesting properties. This title is based on the Workshop on Superintegrability in Classical and Qua

Includes the proceedings of a workshop on Invariant Theory. This book presents survey articles providing introductions to computational invariant theory, modular invariant theory of finite groups, and the invariant theory of Lie groups; expository works recounting research in these three areas and beyond; and open problems of interest.

This is a collection of survey articles on several topics related to the general notion of integrability. It stems from a workshop on Mathematical Methods of Regular Dynamics dedicated to Sophie Kowalevski.

This volume contains the proceedings of the Moonshine workshop held at the Centre de Recherches Mathematiques (CRM) in Montreal. All the classical Moonshine themes are presented, namely the Monster simple group and other finite groups, automorphic functions and forms and related congruence groups, and vertex algebras and their representations. These topics appear in either a pure form or in a blend of algebraic geometry dealing with algebraic surfaces, Picard-Fuchs equations, and hypergeometric functions.

The area of inverse scattering transform method or soliton theory has evolved in a vast variety of exciting new algebraic and analytic directions and has found numerous new applications. Methods and applications range from quantum group theory and exactly solvable statistical models to random matrices, random permutations, and number theory.

This volume presents the proceedings of the CRM workshop on graph colouring and applications. The articles span a wide spectrum of topics related the topic including: list-colourings, total colourings, colourings and embeddings of graphs, chromatic polynomials, characteristic polynomials, chromatic scheduling, and graph colouring problems related to frequency assignment. Researchers in combinatorial optimization and graph theory have contributed their work and a list of open problems is included.

The intital French version of this text was a series of expository lectures that were given at the University of Montreal in November 1975. The book uses the appealing theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms. The presentation is elementary, and the topics are interesting to nonspecialists. The theory is quite beautiful and developing rapidly. Exercises with answers, an...

The NATO ASI/CRM Summer School at Banff offered an in-depth account of the topic of the arithmetic and geometry of algebraic cycles, ranging from introductory courses by leading experts to discussions of the latest developments by all participants. The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic methods. As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology.