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Australian Mathematical Sciences Institute,

ARC Centre of Excellence for Mathematics and Statistics of Complex Systems,

& University of Melbourne

Workshop

Integrable Systems, Rigorous Asymptotics and Applications

August 22 - 23, 2004

AMSI Melbourne, Australia

The study of integrable systems, whilst having a long history, continues to occupy a central role in many areas of contemporary mathematics. Take for example the situation in random matrix theory of a close correspondence with integrable systems whereby the statistical averages arising are exactly characterised by integrable equations. Random matrix theory is a subject undergoing rapid development and now lies at the crossroads of many disciplines in mathematics - combinatorics, representation theory, probability theory, statistics, and number theory. It is also a paradigm for complex systems in the quantum domain that are intensively studied in the physical sciences. Because of these considerations and the relative importance of Australian research in this area an AMSI workshop on this and related themes will be held during 22nd-23rd August 2004 at the Melbourne facility of the AMSI. The workshop is a joint project by the Australian Mathematical Sciences Institute and the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems.

Aims and Scope

This is envisaged to encompass the following areas
- the Painlevé equations and their generalisations,
- discrete integrable systems, autonomous and non-autonomous,
- soliton systems,
- isomonodromic deformation theory,
- connection and asymptotic problems,
- Riemann-Hilbert problems,
- orthogonal polynomials and approximation theory.
although this list is not intended to be exhaustive, but rather indicative of the specific topics.

Participants

This workshop is intended to feature Professor Percy Deift, Courant Institute of Mathematical Sciences, New York University who has been central to many of the developments in rigorous asymptotics and is well known for the formulation of the Deift-Zhou method for Riemann-Hilbert problems. His visit is also being supported by the Department of Mathematics and Statistics, University of Melbourne. The intention is to involve all national researchers active in these fields, their students and visitors who are available at this time. At the time of writing we have the participation of Professor Percy Deift (CIMS, NYU), Professor Peter Forrester (U of M), Dr. Nicholas Witte (U of M), Professor Reinout Quispel (La Trobe), Dr. Theo Tuwankotta (La Trobe), Professor Nalini Joshi (U of S), Dr. Chris Cosgrove (U of S), and Dr. John Roberts (UNSW). We are still waiting on a reply from Professor Claude Viallet (Universite-Paris VI).

Venue and Format

The location is the AMSI Offices, ICT Building, 111 Barry Street, Carlton (near Melbourne CBD and Lygon St), Victoria 3010 Australia. The idea for the format of the workshop is to allow all participants to contribute, with the hope that their contributions are related in a specific way to the themes. The local organising committee consists of Professor Reinout Quispel and Dr. Nicholas Witte. Staff and students of institutions that are AMSI members will receive support for travel and accommodation expenses if coming from outside of Melbourne. Those wishing to participate should click on the links to the left for further information and then contact the organiser Dr. Nicholas Witte (Email link below).

 

 

This page is updated by Nicholas Witte

 
2004-07-28