Discrete systems and special functions

Workshop theme

The workshop will be dedicated to the relationship between the theory of integrable discrete systems and (linear and nonlinear) special functions and orthogonal polynomials, together with their applications. We expect to represent topics such as:

integrable lattice equations and their solutions
discrete Painlevé equations and q-Painlevé equations
elliptic special functions and integrals
special functions associated to Riemann surfaces
orthogonal polynomials and associated special functions
hypergeometric series

The application is closed

Timetable

Monday 29th June 2009
08:30 to 09:55	Registration	No Room Required
09:55 to 10:00	Welcome - David Wallace	Room 1
10:00 to 11:00	Simon Ruijsenaars University of Leeds/University of Loughborough Hilbert-Schmidt operators vs. elliptic Calogero-Moser type systems	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Alfred Ramani Centre de Physique Théorique de l’Ecole Polytechnique (CPHT) Deautonomising integrable non-QRT mappings	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Willy Hereman Colorado School of Mines Symbolic Computation of Lax Pairs of Integrable Nonlinear Difference Equations on Quad-graphs	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Evelyne Hubert INRIA Sophia Antipolis Algebra and algorithms for the classification of differential invariants	Room 1
16:30 to 17:30	Elizabeth Mansfield University of Kent On the moment map for smooth and discrete Hamiltonian systems	Room 1
17:30 to 18:30	Wine reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Tuesday 30th June 2009
09:00 to 10:00	Emma Previato Boston University Isomonodromy and integrability	Room 1
10:00 to 11:00	Marta Mazzocco Loughborough University Poisson brackets arising in Teichmuller theory and isomonodromic deformations	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:00	Pilar Gordoa Universidad Rey Juan Carlos de Madrid Reduction of order for discrete systems	Room 1
12:00 to 12:30	Andrew Pickering Universidad Rey Juan Carlos de Madrid Bäcklund transformations for a discrete second Painlevé hierarchy	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Paul Spicer KU Leuven A discrete system from the recurrence coefficients of 2-variable elliptic orthogonal polynomials	Room 1
14:30 to 15:00	Diego Dominici State University of New York Polynomial solutions of differential-difference equations	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Mizan Rahman Carleton University On the probabilistic origin of some classical orthogonal polynomials in one and two variables	Room 1
16:30 to 17:30	Erik Koelink Radboud Universiteit Nijmegen Huge formulas for simple special functions	Room 1
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Wednesday 1st July 2009
09:00 to 10:00	Eric Rains CALTECH (California Institute of Technology) Moduli spaces and elliptic difference equations	Room 1
10:00 to 11:00	Discretizations of Kahan-Hirota-Kimura type and integrable maps	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:00	Thomas Prellberg Queen Mary University of London Area-perimeter generating functions of lattice walks: q-series and their asymptotics	Room 1
12:00 to 12:30	Miguel Tierz Brandeis University Stieltjes-Wigert and quantum topological invariants	Room 1
12:30 to 13:00	Lunch at Wolfson Court	No Room Required
18:45 to 19:00	Dinner at Wolfson Court	No Room Required

Thursday 2nd July 2009
09:00 to 10:00	Jasper Stokman Universiteit van Amsterdam Bispectral quantum KZ equations and their solutions	Room 1
10:00 to 11:00	Michael Schlosser Technische Universität Wien Special commutation relations and combinatorial identities	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:00	Mike Hay Università degli Studi Roma Tre A completeness study on a class of Lax pairs	Room 1
12:00 to 12:30	Ines Pacharoni Universidad Nacional de Córdoba Matrix orthogonal polynomials and group representations	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Natig Atakishiyev Universidad Nacional Autonoma de Mexico (UNAM) On integral and finite Fourier transforms of continuous q-Hermite polynomials	Room 1
14:30 to 15:00	Yuqin Yao Tsinghua University A new extended discrete KP hierarchy and its solutions	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Nicholas Witte University of Melbourne Deformation of the Askey-Wilson polynomials	Room 1
16:30 to 17:30	Hinke Osinga University of Bristol Tangency bifurcations of global Poincaré maps	Room 1
19:00 to 23:00	Garden party at the Moller Centre	No Room Required

Friday 3rd July 2009
09:00 to 10:00	Alexander Its Discrete Painlevé equations and orthogonal polynomials.	Room 1
10:00 to 11:00	Walter van Assche KU Leuven Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:00	Md Azhar Hussain Veer Kunwar Singh University Some theorem on Eulerian integrals of the multivariable H-function and their applications	Room 1
12:00 to 12:30	Juri Rappoport Pereslavl-Zalessky of the Russian Academy of Sciences Chebyshev polynomial approximations for some hypergeometric systems	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Yousuke Ohyama Osaka University Analytic solutions to the q-Painlevé equations around the origin	Room 1
14:30 to 15:00	Teruhisa Tsuda Kyushu University UC hierarchy and monodromy preserving deformations	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Kenji Kajiwara Kyushu University Hypergeometric solutions to the symmetric discrete Painlevé equations	Room 1
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Speakers

Natig Atakishiyev Universidad Nacional Autonoma de Mexico (UNAM)
Diego Dominici State University of New York
Pilar Gordoa Universidad Rey Juan Carlos de Madrid
Mike Hay Università degli Studi Roma Tre
Willy Hereman Colorado School of Mines
Evelyne Hubert INRIA Sophia Antipolis
Md Azhar Hussain Veer Kunwar Singh University
Alexander Its
Kenji Kajiwara Kyushu University
Erik Koelink Radboud Universiteit Nijmegen
Elizabeth Mansfield University of Kent
Marta Mazzocco Loughborough University
Yousuke Ohyama Osaka University
Hinke Osinga University of Bristol
Ines Pacharoni Universidad Nacional de Córdoba
Andrew Pickering Universidad Rey Juan Carlos de Madrid
Thomas Prellberg Queen Mary University of London
Emma Previato Boston University
Mizan Rahman Carleton University
Eric Rains CALTECH (California Institute of Technology)
Alfred Ramani Centre de Physique Théorique de l’Ecole Polytechnique (CPHT)
Juri Rappoport Pereslavl-Zalessky of the Russian Academy of Sciences
Simon Ruijsenaars University of Leeds/University of Loughborough
Michael Schlosser Technische Universität Wien
Paul Spicer KU Leuven
Jasper Stokman Universiteit van Amsterdam
Miguel Tierz Brandeis University
Teruhisa Tsuda Kyushu University
Walter van Assche KU Leuven
Nicholas Witte University of Melbourne
Yuqin Yao Tsinghua University

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Discrete systems and special functions

Workshop theme

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Timetable

Speakers

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