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SUMMARY:Symplectic cohomology of compound du Val singularities - Jonny Eva
 ns\, Lancaster
DTSTART:20211110T160000Z
DTEND:20211110T170000Z
UID:TALK162451@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:If someone gives you a variety with a singular point\, you can
  try and get some understanding of what the singularity looks like by taki
 ng its "link"\, that is you take the boundary of a neighbourhood of the si
 ngular point. For example\, the link of the complex plane curve with a cus
 p is a trefoil knot in the 3-sphere. I want to talk about the links of a c
 lass of 3-fold singularities which come up in Mori theory: the compound Du
  Val (cDV) singularities. These links are 5-dimensional manifolds. It turn
 s out that many cDV singularities have the same 5-manifold as their link\,
  and to tell them apart you need to keep track of some extra structure (a 
 contact structure). In joint work with Y. Lekili\, we use symplectic cohom
 ology to distinguish the contact structures on many these links.
LOCATION:MR13
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