Holomorphic anomaly equations for the Hilbert schemes of points of a K3 surface
Georg Oberdieck (Hausdorff Center for Mathematics)
Abstract: Holomorphic anomaly equations are certain structural properties predicted by physics for the Gromov-Witten theory of Calabi-Yau manifolds. In this talk I will explain the conjectural form of these equations for the Hilbert scheme of points of a K3 surface, and explain how to prove them for genus 0 and up to three markings. As a corollary, for fixed n, the (reduced) quantum cohomology of Hilb^n K3 is determined up to finitely many coefficients.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.
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Times vary to accommodate speakers time zones but times will be announced in GMT time.
| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
| *contact for this listing |