A riemann-Hilbert type approach to systems of linear q-difference equations
This is the regular Tuesday lunchtime seminar BUT is being held on Thursday due to availability of speaker
by Dr Chris Ormerod
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
For More Information: contact: Mark Sorrell. email firstname.lastname@example.org