Algebraic and Geometric Methods in Mathematical Physics: Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993 (Mathematical Physics Studies, 19) - Hardcover

Hardcover

ISBN 10: 0792339096 ISBN 13: 9780792339090

Publisher: Springer, 1996

Synopsis

This volume contains the proceedings of the First Ukrainian-French­ Romanian School "Algebraic and Geometric Methods in Mathematical Physics", held in Kaciveli, Crimea (Ukraine) from 1 September ti1114 September 1993. The School was organized by the generous support of the Ministry of Research and Space of France (MRE), the Academy of Sciences of Ukraine (ANU), the French National Center for Scientific Research (CNRS) and the State Committee for Science and Technologies of Ukraine (GKNT). Members of the International Scientific Committee were: J.-M. Bony (paris), A. Boutet de Monvel-Berthier (Paris, co-chairman), P. Cartier (paris), V. Drinfeld (Kharkov), V. Georgescu (Paris), J.L. Lebowitz (Rutgers), V. Marchenko (Kharkov, co-chairman), V.P. Maslov (Moscow), H. Mc-Kean (New-York), Yu. Mitropolsky (Kiev), G. Nenciu (Bucharest, co-chairman), S. Novikov (Moscow), G. Papanicolau (New-York), L. Pastur (Kharkov), J.-J. Sansuc (Paris). The School consisted of plenary lectures (morning sessions) and special sessions. The plenary lectures were intended to be accessible to all participants and plenary speakers were invited by the scientific organizing committee to give reviews of their own field of interest. The special sessions were devoted to a variety of more concrete and technical questions in the respective fields. According to the program the plenary lectures included in the volume are grouped in three chapters. The fourth chapter contains short communications.

About this title

Synopsis

This volume contains the expository lectures and a selection of short communications presented at the Summer School Algebraic and Geometric Methods in Mathematical Physics, held in Kaciveli, Crimea, Ukraine, in September 1993. The contributions, by leading experts in the various fields, review the state of the art in many important branches of modern mathematical physics. Special emphasis is given to certain aspects of quantum groups and conformal field theory, spectral theory of differential and pseudodifferential operators, nonlinear integrable PDEs and related problems of algebra, geometry and analysis. A number of topics of current interest is also discussed, such as nonlinear problems of mathematical economics, direct and inverse problems of spectral theory, mathematical statistical mechanics, etc.Audience: Researchers and graduate students in group representations, spectral theory, nonlinear equations, integrable systems, mathematical quantum field theory and statistical mechanics.

Edition details

• Publisher: Springer
• Publication date: 1996
• Language: English
• ISBN 10: 0792339096
• ISBN 13: 9780792339090
• Binding: Hardcover
• Number of pages: 492
• Editor: Boutet De Monvel Anne, Marchenko V.A.