Collection Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
Organizer(s)
Date(s)
27/04/2024
Nonabelian Hodge spaces and nonlinear representation theory
The theory of connections on curves and 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.
