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H3 surfaces, nonabelian Hodge spaces and global Lie theory

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Philip Boalch
Université Paris-Sud, Orsay
Tue, 2019-07-30 11:30 - 12:30
MPIM Lecture Hall

I will review some geometric aspects of the the wild character varieties. Whereas the exponential map from a Lie algebra to a Lie group can be viewed as the monodromy of a singular connection $A{\rm d}z/z$ on a disk, the wild character varieties are the receptacles for the monodromy data for arbitrary meromorphic connections on Riemann surfaces. Most of the familiar story in the tame case has now been extended to the wild case, and this makes contact with many applications.

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