Discrete integrable systems - a follow-up meeting

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Workshop theme

This follow-up workshop will explore the recent advances in discrete integrable systems since the half-year programme in 2009. Discrete equations are more fundamental and richer than their differential counterparts. The theory of discrete integrable systems draws on, and contributes to, methods from many diverse areas of mathematics including algebraic geometry, complex analysis, differential geometry, graph theory, orthogonal polynomials, random matrix theory, Riemann-Hilbert problems, special functions, spectral theory and tropical geometry. Furthermore it has inspired work on discrete versions of complex analysis and discrete "differential" geometry.

A key aspect of the meeting will be to explore connections between the ever-growing number of approaches to this exciting and expanding area.

Timetable

Monday 8th July 2013
09:00 to 09:25	Registration at INI	No Room Required
09:25 to 09:30	Welcome and Opening Remarks by INI Director John Toland	Room 1
09:30 to 10:00	Nalini Joshi University of Sydney Quicksilver solutions of a q-discrete Painlevé equation	Room 1
10:00 to 10:30	Jarmo Hietarinta University of Turku Discrete Boussinesq equations	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Wolfgang Schief University of New South Wales Bianchi (hyper-)cubes and a geometric unification of the Hirota and Miwa equations	Room 1
11:30 to 12:00	Anton Dzhamay University of Northern Colorado Discrete Schlesinger Transformations and Difference Painlevé Equations	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Da-jun Zhang Shanghai University The Sylvester equation, Cauchy matrices and matrix discrete integrable systems	Room 1
14:30 to 15:00	Sikarin Yoo-Kong King Mongkut's University of Technology Thonburi The variational principle for Lagrangian 1-forms	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Reductions of DIS. Discrete Painlevé equations and Painlevé correspondences	Room 1
16:00 to 16:30	James Atkinson University of Sydney Fano 3-space and symmetrisation of quad-equations	Room 1
16:30 to 17:30	Welcome Wine Reception	No Room Required

Tuesday 9th July 2013
09:30 to 10:00	Francesco Calogero Università degli Studi di Roma La Sapienza New solvable discrete-time many-body problems featuring several arbitrary parameters	Room 1
10:00 to 10:30	Yasuhiko Yamada Kobe University The q-Painlevé equations arising from the q-interpolation problems	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Darboux transformations, discrete integrable systems and related Yang-Baxter maps	Room 1
11:30 to 12:00	Adam Doliwa University of Warmia and Mazury Some non-commutative integrable systems from Desargues maps	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Cluster algebras and discrete integrable systems	Room 1
14:30 to 15:00	Allan Fordy University of Leeds Integrable maps which preserve functions with symmetries	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Erdal Emsiz Pontificia Universidad Católica de Chile Discrete harmonic analysis on a Weyl alcove	Room 1
16:00 to 16:30	Decio Levi Università degli Studi Roma Tre Multiscale reductions and integrability on the lattice	Room 1

Wednesday 10th July 2013
09:30 to 10:00	Frank Nijhoff University of Leeds Lagrangian multiform theory and variational principle for integrable systems	Room 1
10:00 to 10:30	Sarah Lobb University of Sydney Variational principle for discrete 2d integrable systems	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Yuri Suris Technische Universität Berlin What is integrability of discrete variational systems?	Room 1
11:30 to 12:00	Kenji Kajiwara Kyushu University Discrete mKdV flow on discrete space curves	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 17:00	Free time followed by Conference Dinner	No Room Required
19:30 to 22:00	Conference Dinner at Emmanuel College	No Room Required

Thursday 11th July 2013
09:30 to 10:00	John Roberts University of New South Wales Exact results for degree growth of lattice equations and their signature over finite fields	Room 1
10:00 to 10:30	Masataka Kanki University of Tokyo Integrability of discrete systems over finite fields	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Peter van der Kamp La Trobe University Initial value problems for Discrete Integrable Systems	Room 1
11:30 to 12:00	Jan Felipe van Diejen Pontificia Universidad Católica de Chile The semi-infinite q-boson system with boundary interaction	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Alexander Mikhailov University of Leeds Formal diagonalisation of the Lax-Darboux scheme and conservation laws of integrable partial differential, differential-difference and partial difference	Room 1
14:30 to 15:00	Discrete integrable equations with Dihedral reduction group	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Quad equations and auto-Bäcklund transformations of NLS-type systems	Room 1
16:00 to 16:30	Theodoros Kouloukas University of Patras Integrable refactorization systems and Yang-Baxter maps	Room 1

Friday 12th July 2013
09:30 to 10:00	Chris Ormerod La Trobe University Special solutions of the additive discrete Painlevé equation with $E_6^{(1)}$ symmetry	Room 1
10:00 to 10:30	K.M. Tamizhmani Pondicherry University Linearisable mappings and their explicit integration	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Pavlos Xenitidis University of Leeds Integrability conditions for difference equations	Room 1
11:30 to 12:00	Discrete integrable systems with self-adaptive moving mesh	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Walter van Assche KU Leuven Discrete Painlevé equations and orthogonal polynomials	Room 1
14:30 to 15:00	Reinout Quispel La Trobe University Some recent results on the Kahan-Hirota-Kimura discretization	Room 1

Discrete integrable systems - a follow-up meeting

Speakers

James Atkinson University of Sydney
Francesco Calogero Università degli Studi di Roma La Sapienza
Adam Doliwa University of Warmia and Mazury
Anton Dzhamay University of Northern Colorado
Erdal Emsiz Pontificia Universidad Católica de Chile
Allan Fordy University of Leeds
Jarmo Hietarinta University of Turku
Nalini Joshi University of Sydney
Kenji Kajiwara Kyushu University
Masataka Kanki University of Tokyo
Theodoros Kouloukas University of Patras
Decio Levi Università degli Studi Roma Tre
Sarah Lobb University of Sydney
Alexander Mikhailov University of Leeds
Frank Nijhoff University of Leeds
Chris Ormerod La Trobe University
Reinout Quispel La Trobe University
John Roberts University of New South Wales
Wolfgang Schief University of New South Wales
Yuri Suris Technische Universität Berlin
K.M. Tamizhmani Pondicherry University
Walter van Assche KU Leuven
Peter van der Kamp La Trobe University
Jan Felipe van Diejen Pontificia Universidad Católica de Chile
Pavlos Xenitidis University of Leeds
Yasuhiko Yamada Kobe University
Sikarin Yoo-Kong King Mongkut's University of Technology Thonburi
Da-jun Zhang Shanghai University

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Discrete integrable systems - a follow-up meeting

Workshop theme

Timetable

Speakers

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