Mon, 09 Mar 2026
14:15
14:15
L4
Gromov-Witten theory of K3 surfaces
Rahul Pandharipande
(ETH Zurich)
Abstract
The missing piece of a formally complete solution of the
reduced Gromov-Witten of K3 surfaces is the proof of a
multiple cover formula conjectured with Oberdieck more than a
decade ago. After introducing the problem, I will explain
work in progress with Oberdieck where the full formula is
deduced from (at the moment) conjectural GW/PT properties
for families. The geometry is related also to the study of tautological classes on the moduli of K3 surfaces.