Applied Maths Seminar: Roffelsen -- On connection problems for Painlev\’{e} transcendents and affine Del Pezzo surfaces

Dear all, 

Our upcoming AM seminar is held next Wednesday 01 November at 1pm in F07 Carslaw Lecture
Theatre 373.  Our speaker is Pieter Roffelsen (University of Sydney).  

Talk details follow below: 

--------------------------------------------------------------------------------------------------------------------------------------------
Title: On connection problems for Painlev\’{e} transcendents and affine Del Pezzo
surfaces 

Abstract: For ordinary differential equations, explicitly relating the behaviours of
solutions near distinct points, constitutes an important but often completely
intractable problem, known as a connection problem.  It is thus a remarkable fact that,
for the highly transcendental and nonlinear Painlevé equations, certain connection
problems are solvable.  In this talk, I will discuss some of the history and mathematics
involved in solving these problems, as well as recent extensions to the q-difference
setting, and how the beautiful geometry of affine Del Pezzo surfaces plays a central
role in their solutions.
-------------------------------------------------------------------------------------------------------------------------------------------- 

An ongoing list of AM seminars is posted here:
https://www.maths.usyd.edu.au/u/SemConf/Applied.html 

See you there, Jae Min