Programme

Tuesday 20 September

9.00-10.00 Registration

Plenary talks (Room D, SISSA Basement)

10.00-10.45 Masa-Hiko Saito (Kobe University, Japan) Moduli of stable parabolic connections, Riemann-Hilbert correspondences and Geometry of Painlevé equations (slides PDF)

Coffee Break

11.15-12.00 John Gibbons (Imperial College, London, UK) Hyperelliptic and cyclic trigonal reductions of the Benney hierarchy (paper PDF)

12.00-12.45 Peter Elbau (ETH, Zürich, Switzerland) Random Normal Matrices and polynomial curves

Lunch Break

14.30-15.15 Paolo Maria Santini (Università La Sapienza, Rome, Italy) The transition from regular to irregular motions as travel on a Riemann surface

15.30-16.15 Boris G. Konopelchenko (Lecce University, Italy) On the Dressing method applicable to the Heavenly equation

Coffee Break

Session 1 (Room D)

16.45-17.15 Maarten Vanlessen (Katholieke Universiteit Leuven, Belgium) Universality for Laguerre type orthogonal and symplectic ensembles at the hard edge of the spectrum

17.15-17.45 Maciej Dunajski (DAMPT, Cambridge, UK) Geodesic approximation of time dependent unitons

18:00-18:30 Guido Carlet (Cambridge University, UK) Two-dimensional Toda and Riemann-Hilbert problem

Session 2 (Room B)

16.45-17.15 Kouichi Takemura (Yokohama City University, Japan) Heun equation and Painlevé equation

17.15-17.45 Vyacheslav P. Spiridonov (Laboratory of Theoretical Physics, JINR, Russia) Elliptic hypergeometric functions and integrable systems

18.00-18.30 Victor Yu. Novokshenov (Institute of Mathematics RAS, Russia) Asymptotics in the complex plane of the third Painlevé transcendent (slides PDF)

Wednesday 21 September

Plenary talks (Room D, SISSA Basement)

9.30-10.15 Alexander Bobenko (TU, Berlin, Germany) Isomonodromic circle patterns

Coffee Break

10.45-11.30 Alberto Cattaneo (Zürich University, Switzerland) Poisson geometry and Deformation Quantization (slides PDF)

11.45-12.30 Arno Kuijlaars (Katholieke Universiteit Leuven, Belgium) Multiple orthogonal polynomials and the asymptotic analysis of 3x3 matrix valued Riemann-Hilbert problems (slides PDF)

Lunch Break

14.30-15.15 Claus Hertling (Universität Mannheim, Germany) Limit mixed Hodge structure and central connection matrix (slides PDF)

15.30-16.15 Alexander Veselov (Loughborough University, UK) Coxeter discriminants, deformed root systems and Dubrovin's duality (slides PDF)

Coffee Break

Session 1 (Room D)

16.45-17.15 Christian Klein (MPI for Mathematics in the Sciences, Leipzig, Germany) Riemann-Hilbert problem for the Ernst equation (slides PDF)

17.15-17.45 Evi Daems (Katholieke Universiteit Leuven, Belgium) A Riemann-Hilbert problem associated with non-intersecting Brownian motions (slides PDF)

18.00-18.30 Tom Claeys (Katholieke Universiteit Leuven, Belgium) Universality of the double scaling limit in critical random matrix ensembles (slides PDF)

Session 2 (Room B)

16:45-17:15 Antonio Moro (Lecce University, Italy) Dispersionless Veselov-Novikov hierarchy in nonlinear geometrical optics and hydrodynamic-type reductions (slides PDF)

17.15-17.45 Iasonas Hitzazis (University of Patras, Greece) Riemann-Hilbert Problems Associated to Boundary Value Problems for the KdV Equation

18.00-18.30 Joakim Arnlind (Royal Institute of Technology, Stockholm, Sweden) Eigenvalue Dynamics off the Calogero-Moser system (slides PDF)

Thursday 22 September

Plenary talks (Room D, SISSA Basement)

9.30-10.15 Athanassios Fokas (DAMTP, University of Cambridge, UK) The Dirichlet to Neumann map for linear and integrable nonlinear PDEs (slides PS)

Coffee Break

10.45-11.30 Fedor Smirnov (LPTHE, Paris 6 University, France) Correlation functions for lattice exactly solvable models (slides DVI)

11.45-12.30 Vladimir Kazakov (Ecole Normale Sup., Paris, France) Bethe Ansatz equations in thermodynamical limit: algebraic curve and finite size corrections (slides DVI)

Lunch Break

14.30-15.15 Vasilisa Shramchenko (Max-Planck Institute for Mathematics, Bonn, Germany) Deformations of Frobenius structures on Hurwitz spaces (slides PDF)

15.30-16.15 Kanehisa Takasaki (Kyoto University, Japan) Dispersionless integrable hierarchies revisited (slides PDF)

Coffee Break

16.45-17.30 Jens Hoppe (Royal Institute of Technology, Stockholm, Sweden) Follytons (paper PDF)

Friday 23 September

Plenary talks (Auditorium, SISSA main entrance)

9.30-10.15 B. Dubrovin (SISSA, Italy) On universality of critical behaviour in Hamiltonian PDEs (slides PDF)

Coffee Break

10.45-11.30 Pierre van Moerbeke (Universite de Louvain, Belgium) A Partial differential equation for the Pearcey distribution (slides PDF)

11.45-12.30 Craig Tracy (UC Davis, USA) Painlevé representations for distribution functions for next-largest, next-next largest, etc. eigenvalues of GOE and GSE (slides PDF)

Lunch Break

14.30-15.15 Sergei P. Novikov (University of Maryland, US) Topology of Hamiltonian systems on Riemann surfaces (slides PDF)

15.30-16.15 Darren Crowdy (Imperial College London, UK) Reductions of the Benney hierarchy and the Dirichlet problem in two dimensions (slides PDF)

Coffee Break

Session 1 (Auditorium, SISSA main entrance)

16.45-17.15 Andriy Panasiyuk (University of Warsaw, Poland) Algebraic Nijenhuis operators and Kronecker Poisson pencils (slides PDF)

17.15-17.45 Paolo Lorenzoni (Università di Milano Bicocca, Italy) A cohomological construction of integrable hierarchies of hydrodynamic type (slides PDF)

Session 2 (Room D, SISSA Basement)

16.45-17.15 Jonathan Marshall (Imperial College, London, UK) Uniformization of Quadrature Domains (slides PDF)

17.15-17.45 Manuel Mañas (Universidad Complutense de Madrid, Spain) Whitham hierarchies: dressing, string equations and additional symmetries (slides PDF)

Conference dinner, Adriatico guest House 19.30

Saturday 24 September

Plenary talks (Auditorium, SISSA main entrance)

9.30-10.15 Lionel Mason (University of Oxford, UK) Transparent connections on the plane and sphere and Ward's 2+1 Chiral Model (slides PDF)

10.45-11.30 Evgeny Ferapontov (Loughborough University, UK) On integrability of multi-dimensional quasilinear systems (paper PDF)

Coffee Break

11.45-12.30 Ladislav Samaj (SAS, Slovakia) The statistical mechanics of the classical two-dimensional Coulomb gas is exactly solved (slides PDF)

Lunch Break

14.30-15.15 Yuri Suris (TU München, Germany) Discrete isomonodromic Green's function on quad-graphs (slides PDF)

15.30-16.15 Luis Martinez Alonso (Universidad Complutense de Madrid, Spain) String equations and Whitham hierarchies in conformal map dynamics (slides PDF)

Coffee Break

Session 1 (Auditorium, SISSA main entrance)

16.45-17.15 Giorgi Khimshiashvili (A.Razmadze Mathematical Institute, Georgia) Riemann-Hilbert transmission problems in loop spaces (paper PS)

17.15-17.45 Rossen Ivanov (Trinity College, Dublin) Poisson structure and action-angle variables for the Camassa-Holm equation (slides PDF)

17.45-18.15 Pilar Garcia Estevez (University of Salamanca, Spain) Lumps in 2+1 Schrodinger equation (slides PDF)

Session 2 (Room D, SISSA Basement)

16.45-17.15 Ian Strachan (University of Glasgow, UK) Two constructions of the isomonodromic tau-function (slides PDF)

17.15-17.45 Andrew Hone (University of Kent, UK) Pseudo-difference hierarchy associated with the intermediate long wave equation

17.45-18.15 Martin Hallnäs (KTH, Sweden) An explicit solution of the N-body Calogero model