Explore homological mirror symmetry for log Calabi-Yau surfaces in this 52-minute lecture by Ailsa Keating from the University of Cambridge. Learn how to construct a mirror Landau-Ginzburg model for a log Calabi-Yau surface with maximal boundary, and follow the proof sketch for homological mirror symmetry in distinguished cases. Discover the connections to the SYZ fibration predicted by Gross-Hacking-Keel and earlier work by Auroux-Katzarkov-Orlov and Abouzaid. Delve into topics such as the Tourette and Petri models, star square abstractions, and cluster perspectives in this joint work with Paul Hacking.
Homological Mirror Symmetry for Log Calabi-Yau Surfaces
Overview
Syllabus
Intro
Setup
Tourette Model
Petri Model
Star Square
Abstract
Questions
How to relate
Mirror
Meta perspective
Clusters
Taught by
IMSA
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