Speaker : Albert Wood (National Taiwan University)
Title : Gluing Constructions in Geometric Analysis
Time : 2022-01-19 (Wed) 14:00 - 15:00
Place : Lecture Hall 5F, Cosmology Building, NTU
Abstract: Over the past 40 years, gluing constructions have become ubiquitous in geometric analysis, giving us new examples of compact manifolds with holonomy $G_2$ (Joyce), constant mean curvature surfaces (Kapouleas), and more recently, novel translating solutions to Lagrangian mean curvature flow (Su). In this talk, I hope to give an accessible overview of the philosophy of gluing constructions, through the example of finding Calabi-Yau metrics on the $K3$ surface. The talk will mainly follow the expository article 'Calabi-Yau Metrics on the $K3$ Surface as a Model Gluing Problem' by Donaldson.