Homological mirror symmetry for K3 surfaces

Add to your list(s) Download to your calendar using vCal

• Ailsa Keating (Cambridge)
• Wednesday 16 October 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

Joint work with Paul Hacking (U Mass Amherst). We will outline a proof of homological mirror symmetry for K3 surfaces, in the following setting: on the symplectic side, we have any K3 surface (X, \omega) with \omega integral Kaehler; and on the algebraic side, we have any K3 surface Y with Picard rank 19. Our approach includes establishing a conjecture of Lekili-Ueda for `type III ’ degenerations of K3 surfaces, which may be of independent interest. Time allowing, we will explain what generalisations we expect. The talk will be targeted at an audience with a broad range of geometric interests.

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Differential Geometry and Topology Seminar
• Hanchen DaDaDash
• Interested Talks
• MR13
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.