School Colloquium——Gravitational instantons and K3 surfaces
报告人：Jeffrey A Viaclovsky (University of California, Irvine)
地点：Room 1114, Sciences Building No. 1
Abstract: There are many interesting examples of complete non-compact Ricci-flat metrics in dimension 4, some of which are referred to as ALE, ALF, ALG, ALH gravitational instantons. In this talk, I will describe some of these types of metrics, and another family called ALH_b gravitational instantons. These metrics are related to K3 surfaces because they arise as “bubbles” for sequences of Ricci-flat metrics on K3 surfaces, and are useful for understanding the behavior of Calabi-Yau metrics near the boundary of the moduli space. In this talk, I will also briefly describe some of these type of constructions.