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CATEGORIES:Mathematical Physics Seminar
SUMMARY:Beyond the fundamental group - Philip Boalch (Pari
s)
DTSTART;TZID=Europe/London:20130212T160000
DTEND;TZID=Europe/London:20130212T170000
UID:TALK42292AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/42292
DESCRIPTION:Moduli spaces of representations of the fundamenta
l group of a Riemann\nsurface have been studied fr
om numerous points of view and appear in\nmany par
ts of mathematics and theoretical physics. They fo
rm an\ninteresting class of symplectic manifolds\,
they often have Kahler or\nhyperkahler metrics (i
n which case they are diffeomorphic to spaces of\n
Higgs bundles\, i.e. Hitchin integrable systems)\,
and they admit\nnonlinear actions of braid groups
and mapping class groups with\nfascinating dynami
cal properties. The aim of this talk is to describ
e\nsome aspects of this story as well as its exten
sion to the context of\nthe "wild fundamental grou
p"\, which naturally appears when one\nconsiders {
\\em meromorphic} connections on Riemann surfaces.
In\nparticular many new examples of complete hype
rkahler manifolds appear\nin this way\, some of wh
ich are familiar (without the metrics) from\nclass
ical work on the Painleve equations.
LOCATION:DAMTP\, room MR11
CONTACT:Dr Maciej Dunajski
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