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.