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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Symplectic cohomology of compound du Val singulari
ties - Jonny Evans\, Lancaster
DTSTART;TZID=Europe/London:20211110T160000
DTEND;TZID=Europe/London:20211110T170000
UID:TALK162451AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/162451
DESCRIPTION:If someone gives you a variety with a singular poi
nt\, you can try and get some understanding of wha
t the singularity looks like by taking its "link"\
, that is you take the boundary of a neighbourhood
of the singular point. For example\, the link of
the complex plane curve with a cusp is a trefoil k
not in the 3-sphere. I want to talk about the link
s of a class of 3-fold singularities which come up
in Mori theory: the compound Du Val (cDV) singula
rities. These links are 5-dimensional manifolds. I
t turns out that many cDV singularities have the s
ame 5-manifold as their link\, and to tell them ap
art you need to keep track of some extra structure
(a contact structure). In joint work with Y. Leki
li\, we use symplectic cohomology to distinguish t
he contact structures on many these links.
LOCATION:MR13
CONTACT:Ivan Smith
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