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SUMMARY:Riccardo Carini — Higgs bundles and moduli spaces of sheaves on s
ymplectic surfaces (Junior Geometry Seminar)
DESCRIPTION:Title: Higgs bundles and moduli spaces of sheaves on symplectic
surfaces\nSpeaker: Riccardo Carini\nAbstract: Higgs bundles on a Riemann
surface Σ were first introduced by Hitchin in the 80’s in the study of
Yang-Mills self-duality equations. Their moduli spaces are a natural part
ial compactification of the cotangent space of the moduli space of bundles
on Σ\, making them an interesting object of study in the realm of holomo
rphic symplectic geometry.\nVia the spectral correspondence\, they are clo
sely related to moduli spaces of sheaves on symplectic surfaces\, which cu
rrently represent the primary source of compact hyperkähler manifolds kno
wn to us. I will explore the relation between these moduli spaces\, showin
g how they fit together in a nice one-dimensional family and both admit a
very geometric Lagrangian fibration.\nSome snacks will be provided before
and after the talk.\nGo to the seminar main page.\nSubscribe to the mailin
g list.
URL:https://www.imperial.ac.uk/events/162565/tba-tba-junior-geometry-semina
r/
DTSTART;TZID=Europe/London:20230526T173000
DTEND;TZID=Europe/London:20230526T183000
LOCATION:Room 139\, Huxley Building\, South Kensington Campus\, Imperial Co
llege London\, London\, SW7 2AZ\, United Kingdom
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