Mirror symmetry for degeneration and fibrations of K3 surfaces
Luca Giovenzana (University of Sheffield)
Tuesday 8th October 15:00-16:00 Maths 311B
Abstract
The mirror of a (family of) K3 surfaces is (a family of) K3 surfaces. But there is more to that: Type II degenerations of a K3 are expected to be mirror to elliptic fibrations on the mirror. I will give a precise definition and interpretation of this expectation and explain compatibility with Dolgachev-Nikulin mirror symmetry for K3 surfaces and the Fano/LG correspondence for (quasi) del Pezzo surfaces. Everything is based on arxiv:2405.12009 and a joint work in progress with Alan Thompson.
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