# A riemann-Hilbert type approach to systems of linear q-difference equations

*Tuesday Seminar*

This is the regular Tuesday lunchtime seminar BUT is being held on Thursday due to availability of speaker

*by Dr Chris Ormerod*

*Institution:*La Trobe University

*Date: Thu 25th March 2010*

*Time: 1:00 PM*

*Location: Room 102 Alice Hoy building, The University of Melbourne*

*Abstract*: In the framework of linear systems of q-difference

equations, one may consider the connection data to be defined by the asymptotics of a set of fundamental solutions. We consider the

associated linear problem for a q-analogue of the fifth Painleve equation, which is a $2 \times 2$ example of a linear system which is not handled by the theory "regular" systems of q-difference equations.

We will construct a set of rational transformations that change the asymptotics, and hence, changes the connection data. From this procedure, we construct a group of symmetries of the underlying

Painleve equation.

*For More Information:* contact: Mark Sorrell. email msorrell@unimelb.edu.au