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Random Matrices, Statistical Mechanics, and Integrable Systems
Feb 22, 1999 to Feb 26, 1999

Organizer(s)

B. Dubrovin, A. Its, M. Mehta (Chair), and N. Reshetikhin
To apply for funding, you must register by Fri, Feb 26 1999.

Registration Deadline

Fri, Feb 26 1999

Contact

This workshop will focus on the relations of random matrices to integrable systems and to exactly solvable statistical mechanics and topological field models. The following three groups of topics will be of primary interest:
  • Random matrices, orthogonal polynomials, and integrable systems of differential equations of the PainlevĂ© and KP types. The Riemann-Hilbert and Isomonodromy approachies and their relations to semiclassical analysis. The vertex operators and Virasoro algebra techniques.
  • Correlation functions of exactly solvable quantum field and statistical mechanics models. The quantum Calogero-Sutherland and Calogero-Moser systems and the Knishnik-Zamolodchikov equation. XXX and XXZ models and the quantum Knishnik-Zamolodchikov equation. Relations to the q-special functions and to the representation theory of quantum affine algebras.
  • Matrix integrals and topology of the moduli spaces of algebraic curves. Relations to topological field theories. Frobenius manifolds, PainlevĂ© transcendents, and isomonodromy deformations.
The indicated directions share several common analytic and algebraic features, e.g. Riemann-Hilbert problem, integrable Fredholm operators, Virasoro algebra, KP and Toda hierarchies, etc. One of the principal objectives of the workshop is to discuss extensively these remarkable similarities and hence to advance in understanding of the basic mathematical structures that lie behind them.

Funding

To apply for funding, you must register by Fri, Feb 26 1999. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Important

Parent Program(s):
Random Matrix Models and Their Applications


Questions about this workshop should be sent either by email to
120@msri.org

or by regular mail to:
Random Matrices, Statistical Mechanics, and Integrable Systems
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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