Title: Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams,
Abstract: The theory of Hitchin systems is something like a "global theory of Lie
groups", where one works over a Riemann surface rather than just at a point.
We'll describe how one can take this analogy a few steps further by attempting
to make precise the class of rich geometric objects that appear in this story
(including the non-compact case), and discuss their classification, outlining a
theory of "Dynkin diagrams" as a step towards classifying some examples of such
objects.