Seminar series
Date
Thu, 24 Oct 2024
14:30
14:30
Location
L6
Speaker
Ailsa Keating
Organisation
Cambridge
Joint work with Paul Hacking (U Mass Amherst). We first explain how to
prove homological mirror symmetry for a maximal normal crossing
Calabi-Yau surface Y with split mixed Hodge structure. This includes the
case when Y is a type III K3 surface, in which case this is used to
prove a conjecture of Lekili-Ueda. We then explain how to build on this
to prove an HMS statement for K3 surfaces. On the symplectic side, we
have any K3 surface (X, ω) with ω integral Kaehler; on the algebraic
side, we get a K3 surface Y with Picard rank 19. The talk will aim to be
accessible to audience members with a wide range of mirror symmetric
backgrounds.