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SUMMARY:The Gopakumar-Vafa conjecture for symplectic manifolds - Eleny  Io
 nel (Stanford University)
DTSTART:20170814T133000Z
DTEND:20170814T143000Z
UID:TALK75621@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Thomas H Parker (MSU)\; Penka Georgieva (IMJ-PRG).
 &nbsp\;<br><br>In the late nineties string theorists Gopakumar and Vafa co
 njectured that the Gromov-Witten invariants of Calabi-Yau 3-folds have a h
 idden structure: they are obtained\, by a specific transform\, from a set 
 of more fundamental "BPS numbers"\, which are integers. In joint work with
  Tom Parker\, we proved this conjecture by decomposing the GW invariants i
 nto contributions of ``clusters" of curves\, deforming the almost complex 
 structure and reducing it to a local calculation. This talk presents some 
 of the background and geometric ingredients of our proof\, as well as rece
 nt progress\, joint with Penka Georgieva\, towards proving that a similar 
 structure theorem holds for the real GW invariants of Calabi-Yau 3-folds w
 ith an anti-symplectic involution.
LOCATION:Seminar Room 1\, Newton Institute
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