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arXiv · 1703.10376

Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams

Philip Boalch
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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.

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Philip Boalch. 2017-03-30. Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams. https://arxiv.org/abs/1703.10376

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