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Chapitre D'ouvrage Année : 2018

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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Dates et versions

hal-03456843 , version 1 (30-11-2021)

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Philip Boalch. Wild Character Varieties, Meromorphic Hitchin systems and Dynkin Diagrams. Geometry and Physics: A Festschrift in honour of Nigel Hitchin, 2018, ⟨10.1093/oso/9780198802006.003.0017⟩. ⟨hal-03456843⟩
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