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Explore homological mirror symmetry for log Calabi-Yau surfaces in this advanced mathematics lecture. Delve into the construction of mirror Landau-Ginzburg models for log Calabi-Yau surfaces with maximal boundary. Examine the proof of homological mirror symmetry for distinguished pairs within their deformation class. Investigate the relationship between this construction and the total space of the SYZ fibration predicted by Gross–Hacking–Keel. If time allows, discover connections to earlier work by Auroux–Katzarkov–Orlov and Abouzaid. This lecture, presented by Ailsa Keating, is part of the Winter School JTP series and represents joint work with Paul Hacking.
