Integrable Systems 2014

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Integrable Systems Workshop 2014 participants for web

Thank you to everyone who participated in our 2014 workshop. We hope you had a productive time!

Integrable Systems Workshop 2014 lecture for web

Our second Integrable Systems Workshop was held at the School of Mathematics and Statistics, the University of Sydney on 4 – 5 December 2014.

Configuration of the bilinear discrete KP equation

These dates immediately precede the 8th Australia-New Zealand Mathematics Convention, held in Melbourne 8 – 12 December 2014, which you may also wish to attend.


Thursday, 4 December
Chairs: Nalini JoshiReinout Quispel,
Milena Radnovic

09:30 – 09:45 Opening: Nalini Joshi
09:45 – 10:15 Ralph Willox
10:25 – 10:55 Claude Viallet

Morning tea

11:30 – 12:00 Da-jun Zhang
12:10 – 12:40 Wolfgang Schief


14:30 – 15:00 Dinh Tran
15:10 – 15:40 Peter Vassiliou

Afternoon tea and discussion

Friday, 5 December
Chairs: Sarah Lobb, Wolfgang Schief,
Jan de Gier

09:30 – 10:00 Jan de Gier
10:10 – 10:40 Dmitry Demskoy

Morning tea

11:15 – 11:45 Peter H. van der Kamp
11:55 – 12:25 Khaled Hamad


14:00 – 14:30 Holger Dullin
14:40 – 15:10 Michael Wheeler

Afternoon tea and discussion


Configuration of the roots of a generalized Okamoto polynomial


Dmitry Demskoy: Darboux integrability of determinant and equations for principal minors
Holger Dullin: A Lax-pair for a truncation of the Euler fluid flow on the rotating sphere
Jan de Gier: The inhomogeneous asymmetric exclusion process
Khaled Hamad: Novel recurrences which possess the Laurent property, derivation and proof
Peter H. van der Kamp: Somos 4 & 5 are arithmetic divisibility sequences
Wolfgang Schief: Discrete line complexes and integrable evolution of minors
Dinh Tran: A Lax pair for an asymmetric lattice equation
Peter Vassiliou: Superposition formulas & geometric integrability
Claude Viallet: More on the algebraic structure of rational discrete systems
Michael Wheeler: Refined Cauchy/Littlewood identities and partition functions of the six-vertex model
Ralph Willox: Deautonomisation by singularity confinement: an algebro-geometric justification
Da-jun Zhang: Some results on solutions to lattice equations


Staircase reduction of the 7-point stencil of the discrete Euler-Lagrange equations of an ABS equation.



This workshop was organised by Nalini Joshi, Sarah Lobb, Christopher Lustri and Milena Radnovic.


Registrations closed 3 November 2014.


Tritronquée-type solutions to a modified Painlevé equation