ISOMONODROMY PICTURE
-----------------------

Schedule for the C.R.M. workshop on Isomonodromic Deformations and Applications

(plus the Aisenstadt Chair lecture series by J. Feldman)

1-6 May 2000

-----------------------

Monday May 1 / lundi le 1 mai

Tuesday May 2 / mardi le 2 mai

Wednesday May 3 / mercredi le 3 mai

Thursday May 4 / jeudi le 4 mai

Friday May 5 / vendredi le 5 mai

Saturday May 6 / samedi le 6 mai

-----------------------

All lectures will be given in the 6th floor Amphitheatre (Room 6254), Pavillon André Aisenstadt

Coffee breaks: Room 6245

Registration: Room 5345

Click on title for abstract...

Monday May 1 / lundi le 1 mai

Speaker/ConferencierTitle/Titre
8:30-9:30 Registration
. Morning session chair: J. Harnad
9:30-9:40 J. Hurtubise CRM director's welcome
9:40-10:40 A. Bolibruch Inverse problems for linear differential equations with meromorphic coefficients
10:40-11:00 Coffee Break
11:00-12:00 A. Its Random words and isomonodromy deformations
12:00-14:00 Lunch
. Afternoon session chair: A. Its
14:00-15:00 C. Tracy Limit theorems for height fluctuations in a class of discrete space and time growth models I.
15:00-15:30 Coffee Break
15:30-16:30 M. Olshanetsky W-Geometry and isomonodromic deformations
16:30-17:00 . .
17:00-18:00 J. Feldman Aisenstadt Chair Lecture I: Fermi Surfaces and Infinite Genus Riemann Surfaces
18:00-20:30 Reception: Room 6245

Tuesday May 2 / mardi le 2 mai

Speaker/ConferencierTitle/Titre
. Morning session chair: A. Its
9:30-10:30 C. Tracy Limit theorems for height fluctuations in a class of discrete space and time growth models II.*
(* This talk is the second of a sequence originally scheduled to have been given together with Harold Widom, who unfortunately will be unable to be present.)
10:30-11:00 Coffee Break
11:00-12:00 D. Korotkin Isomonodromic deformations on elliptic curves: Schlesinger transformations and theta-functional solutions
12:00-14:00 Lunch
. Afternoon session chair: A. Bolibruch
14:00-15:00 A. Kitaev On algebraic solutions of the sixth Painlevé equation
15:00-15:30 Coffee Break
15:30-16:30 A. Kapaev Lax pairs for Painlevé equations
16:30-17:00 . .
17:00-18:00 J. Feldman Aisenstadt Chair Lecture II: Fermi Surfaces and Infinite Genus Riemann Surfaces

Wednesday May 3 / mercredi le 3 mai

Speaker/ConferencierTitle/Titre
. Morning session chair: J. Harnad
9:30-10:30 N. Slavnov The partition function of the six-vertex model as a Fredholm determinant. Large N asymptotics
10:30-11:00 Coffee Break
11:00-12:00 J. Palmer Short distance behaviour of Ising correlations
12:00-14:00 Lunch
. Afternoon session chair: C. Tracy
14:00-15:00 F. Göhmann Universal correlations of one-dimensional interacting electrons at low density
15:00-15:30 Coffee Break
15:30-16:30 A. Orlov Fermionic representation for basic hypergeometric functions related to Schur polynomials
16:30-17:00 . .
17:00-18:00 J. Feldman Aisenstadt Chair Lecture III: Fermi Surfaces and Infinite Genus Riemann Surfaces

Thursday May 4 / jeudi le 4 mai

Speaker/ConferencierTitle/Titre
. Morning session chair: A. Its
9:30-10:30 P. Deift Aspects of the perturbation theory of infinite dimensional integrable systems on the line. I.
10:30-11:00 Coffee Break
11:00-12:00 X. Zhou Aspects of the perturbation theory of infinite dimensional integrable systems on the line. II.
12:00-14:00 Lunch
. Afternoon session chair: H. Flaschka
14:00-15:00 V. Korepin Solution of the inverse scattering problem in the quantum case
15:00-15:30 Coffee Break
15:30-16:30 Y. Ohyama Particular solutions of Schlesinger equations
16:30-17:30 M. Mazzocco Rational solutions of Painlevé VI

Friday May 5 / vendredi le 5 mai

Speaker/ConferencierTitle/Titre
. Morning session chair: V. Korepin
9:30-10:30 P. Bleher Universality and Scaling of Correlations between Zeros on Complex Manifolds
10:30-11:00 Coffee Break
11:00-12:00 P. van Moerbeke Integrable systems, random matrices and random permutations
12:00-14:00 Lunch
. Afternoon session chair: D. Korotkin
14:00-15:00 J. Harnad Virasoro generators and bilinear equations for isomonodromic tau functions
15:00-15:30 Coffee Break
15:30-16:30 A. Zhedanov Darboux transformations and self-similarity in spectral problems connected with orthogonal polynomials and biorthogonal rational functions
16:30-17:30 P. Clarkson Symmetry, the Chazy equation and Chazy hierarchies

Saturday May 6 / samedi le 6 mai

Speaker/ConferencierTitle/Titre
. Morning session chair: J. Harnad
9:30-10:30 M. Bertola Jacobi Groups, Jacobi Forms and their Applications
10:30-11:00 Coffee Break
11:00-12:00 Y. Nakamura A discretization of the Schur flow and its applications
12:00-14:00 Lunch

-----------------------

Return to the Workshop's Home Page