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SUMMARY:Holomorphic anomaly equations for the Hilbert schemes of points of
  K3 surfaces - Georg Oberdieck\, University of Bonn
DTSTART:20220209T141500Z
DTEND:20220209T151500Z
UID:TALK169277@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:The generating series of Gromov-Witten invariants of the Hilbe
 rt scheme of points of a K3 surface are conjectured to be quasi-Jacobi for
 ms and satisfy a holomorphic anomaly equation\, which recursively determin
 e the dependence on the non-modular part. I will sketch how one proves thi
 s conjecture for a meaningful part of the theory (genus 0 up to three mark
 ings). In the second part of this talk I will give an application to a con
 jectural Yau-Zaslow type formula for counts of genus 2 curves on HK 4-fold
 s of K3[2] type. The last part is joint work with Cao and Toda.\n
LOCATION:CMS MR13
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