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Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Edited by: Anton Dzhamay, University of Northern Colorado, Greeley, CO, and Kenichi Maruno and Virgil U. Pierce, University of Texas-Pan American, Edinburg, TX
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Contemporary Mathematics
2013; 345 pp; softcover
Volume: 593
ISBN-10: 0-8218-8747-5
ISBN-13: 978-0-8218-8747-9
List Price: US$111 Member Price: US$88.80
Order Code: CONM/593

This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA.

The very wide range of topics represented in this volume illustrates the importance of methods and ideas originating in the theory of integrable systems to such diverse areas of mathematics as algebraic geometry, combinatorics, and probability theory. The volume offers a balanced combination of survey articles and research papers with important new results.

Graduate students and research mathematicians interested in the various aspects of the theory of integrable systems and its applications, including connections with the theory of random matrices and map enumeration.

• M. Adler, M. Cafasso, and P. van Moerbeke -- Nonlinear PDEs for Fredholm determinants arising from string equations
• J. C. DiFranco and P. D. Miller -- The semiclassical modified nonlinear Schrödinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
• J. Szmigielski and L. Zhou -- Peakon-antipeakon interactions in the Degasperis-Procesi equation
• A. Kasman -- Duality and collisions of harmonically constrained Calogero particles
• T. Suzuki -- A class of higher order Painlevé systems arising from integrable hierarchies of type $$A$$
• H. Kawakami, A. Nakamura, and H. Sakai -- Toward a classification of four-dimensional Painlevé-type equations
• Y. Ohyama and S. Okumura -- R. Fuchs' problem of the Painlevé equations from the first to the fifth
• S. Chakravarty -- Differential equations for triangle groups
• A. Doliwa -- Hirota equation and the quantum plane
• A. S. Carstea -- On the geometry of $$Q_4$$ mapping
• D. Korotkin and P. Zograf -- Tau function and the Prym class
• O. Dumitrescu, M. Mulase, B. Safnuk, and A. Sorkin -- The spectral curve of the Eynard-Orantin recursion via the Laplace transform
• V. U. Pierce -- Continuum limits of Toda lattices for map enumeration