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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:TALK162448AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/162448
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 y^2 = x^3 is a
trefoil knot in the 3-sphere. I want to talk abou
t the links of a class of 3-fold singularities whi
ch come up in Mori theory: the compound Du Val (cD
V) singularities. These links are 5-dimensional ma
nifolds. It turns out that many cDV singularities
have the same 5-manifold as their link\, and to te
ll them apart you need to keep track of some extra
structure (a contact structure). In joint work wi
th Y. Lekili\, we use symplectic cohomology to dis
tinguish the contact structures on many these link
s.
LOCATION:MR13
CONTACT:Ivan Smith
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