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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The Gopakumar-Vafa conjecture for symplectic manif
olds - Eleny Ionel (Stanford University)
DTSTART;TZID=Europe/London:20170814T143000
DTEND;TZID=Europe/London:20170814T153000
UID:TALK75621AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/75621
DESCRIPTION:Co-authors: Thomas H Parker (MSU)\; Penka Georgiev
a (IMJ-PRG). \;
In the late nineties st
ring theorists Gopakumar and Vafa conjectured that
the Gromov-Witten invariants of Calabi-Yau 3-fold
s have a hidden structure: they are obtained\, by
a specific transform\, from a set of more fundamen
tal "BPS numbers"\, which are integers. In joint w
ork with Tom Parker\, we proved this conjecture by
decomposing the GW invariants into contributions
of ``clusters" of curves\, deforming the almost co
mplex structure and reducing it to a local calcula
tion. This talk presents some of the background an
d geometric ingredients of our proof\, as well as
recent progress\, joint with Penka Georgieva\, tow
ards proving that a similar structure theorem hold
s for the real GW invariants of Calabi-Yau 3-folds
with an anti-symplectic involution.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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