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DTSTART:20240331T030000
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DTSTAMP:20240806T020346Z
UID:1704978000@ist.ac.at
DTSTART:20240111T140000
DTEND:20240111T160000
DESCRIPTION:Speaker: Alexander Ritter\nhosted by Tamas Hausel\nAbstract: In
this joint work with Filip Zivanovic\, we construct symplectic cohomology
for a class of symplectic manifolds that admit C*-actions and which proje
ct equivariantly and properly to a convex symplectic manifold. The motivat
ion for studying these is a large class of examples known as Conical Sympl
ectic Resolutions\, which includes quiver varieties\, resolutions of Slodo
wy varieties\, and hypertoric varieties. These spaces are highly non-exact
at infinity\, so along the way we develop foundational results to be able
to apply Floer theory. Motivated by joint work with Mark McLean on the Co
homological McKay Correspondence\, our goal is to describe the ordinary co
homology of the resolution in terms of a Morse-Bott spectral sequence for
positive symplectic cohomology. These spectral sequences turn out to be qu
ite computable in many examples. We obtain a filtration on ordinary cohomo
logy by cup-product ideals\, and interestingly the filtration can be depen
dent on the choice of circle action.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\,
ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Alexander Ritter: Symplectic cohomology of conical symplectic resol
utions
URL:https://talks-calendar.ista.ac.at/events/4448
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