Isomonodromy Deformations and Aplications to Physics

May 1 to May 6, 2000

CRM, Universite de Montreal

Program

1 May (Mon.)

J. Hurtubise CRM director's welcome
A. Bolibruch "Inverse problems for linear differential equations with meromorphic coefficients"
A. Its "Random words and isomonodromy deformations"
C. Tracy "Limit theorems for height fluctuations in a class of discrete space and time growth models I"
M. Olshanetsky "W-Geometry and isomonodromic deformations"
J. Feldman Aisenstadt Chair Lecture I: "Fermi Surfaces and Infinite Genus Riemann Surfaces"

2 May (Tue.)

C. Tracy "Limit theorems for height fluctuations in a class of discrete space and time growth models II"
D. Korotkin "Isomonodromic deformations on elliptic curves: Schlesinger transformations and theta-functional solutions"
A. Kitaev "On algebraic solutions of the sixth Painleve equation"
A. Kapaev "Lax pairs for Painleve equations"
J. Feldman Aisenstadt Chair Lecture II: "Fermi Surfaces and Infinite Genus Riemann Surfaces"

3 May (Wen.)

N. Slavnov "The partition function of the six-vertex model as a Fredholm determinant. Large N asymptotics"
J. Palmer "Short distance behaviour of Ising correlations"
F. Gohmann "Universal correlations of one-dimensional interacting electrons at low density"
A. Orlov "Fermionic representation for basic hypergeometric functions related to Schur polynomials"
J. Feldman Aisenstadt Chair Lecture III: "Fermi Surfaces and Infinite Genus Riemann Surfaces"

4 May (Thu.)

P. Deift "Aspects of the perturbation theory of infinite dimensional integrable systems on the line. I"
X. Zhou "Aspects of the perturbation theory of infinite dimensional integrable systems on the line. II"
V. Korepin "Solution of the inverse scattering problem in the quantum case"
Y. Ohyama "Particular solutions of Schlesinger equations"
M. Mazzocco "Rational solutions of Painleve VI"

5 May (Fri.)
P. Bleher "Universality and Scaling of Correlations between Zeros on Complex Manifolds"
P. van Moerbeke "Integrable systems, random matrices and random permutations"
J. Harnad "Virasoro generators and bilinear equations for isomonodromic tau functions"
A. Zhedanov "Darboux transformations and self-similarity in spectral problems connected with orthogonal polynomials and biorthogonal rational functions"
P. Clarkson "Symmetry, the Chazy equation and Chazy hierarchies"

6 May (Sat.)
M. Bertola "Jacobi Groups, Jacobi Forms and their Applications"
Y. Nakamura "A discretization of the Schur flow and its applications"


Participants


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Reception
J. Harnad's web site in CRM

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