This week, Valery Alexeev (University of Georgia) will speak in the algebra seminar. We will go out for lunch after the talk. When: 12-1pm, 10 May Where: A12 Room 301 (SMRI Seminar Room) *Note new location!* Title: Degenerations of K3 surfaces: mirror symmetry vs representation theory Abstract: 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.