Wild Character Varieties, Meromorphic Hitchin systems and Dynkin Diagrams
Résumé
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 will 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.
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boalch_2017_Wild Character Varieties, Meromorphic Hitchin systems and Dynkin Diagrams_arxiv.v4.pdf (320.81 Ko)
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