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University of Sydney Algebra Seminar

Valery Alexeev

Friday 10 May, 12-1pm, Place: SMRI Seminar Room (A12 Room 301)

Degenerations of K3 surfaces: mirror symmetry vs representation theory

The subject of interest here is degenerations and KSBA (Deligne-Mumford-like) complete moduli of K3 surfaces and of their local analogues, log Calabi-Yau surfaces. I will review various approaches to this problem, two that use versions of mirror symmetry and a third that uses Lie-theoretic methods. This talk is based on joint papers with Thompson, Engel, Argüz-Bousseau and on the vast existing literature, including works of Gross, Hacking, Keel, Siebert.