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SUMMARY:Symplectic cohomology of compound du Val singularities - Jonny Eva
 ns\, Lancaster
DTSTART:20211110T160000Z
DTEND:20211110T170000Z
UID:TALK162448@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 y^2 = x^3 is a trefoil knot in the 3-sphere. I want to talk about the li
 nks of a class of 3-fold singularities which come up in Mori theory: the c
 ompound Du Val (cDV) singularities. These links are 5-dimensional manifold
 s. It turns out that many cDV singularities have the same 5-manifold as th
 eir link\, and to tell them apart you need to keep track of some extra str
 ucture (a contact structure). In joint work with Y. Lekili\, we use symple
 ctic cohomology to distinguish the contact structures on many these links.
LOCATION:MR13
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