Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations
2017 | ISBN-10: 1470416549 | 194 Pages | PDF | 1 MB
This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations, held on January 18, 2014, at the Joint Mathematics Meetings in Baltimore, MD.
The theory of integrable systems has been at the forefront of some of the most important developments in mathematical physics in the last 50 years. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory.
Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. The analytic tools developed to study integrable systems have numerous applications in random matrix theory, statistical mechanics and quantum gravity. One of the most exciting recent developments has been the emergence of good and interesting discrete and quantum analogues of classical integrable differential equations, such as the Painleve equations and soliton equations. Many algebraic and analytic ideas developed in the continuous case generalize in a beautifully natural manner to discrete integrable systems. The editors have sought to bring together a collection of expository and research articles that represent a good cross section of ideas and methods in these active areas of research within integrable systems and their applications.
Algebraic and Geometric Methods in Discrete Mathematics
Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces
Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography
Algebra and Computer Science
Lab Manual for Statistical Analysis
Understanding Real Analysis
Investigating the Pedagogy of Mathematics: How Do Teachers Develop Their Knowledge?
Computational Techniques for Fluid Dynamics: A Solutions Manual
R Graphics, Second Edition
Operators on Hilbert Space (Texts and Readings in Mathematics)
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