Abstracts for Course on Metric and approximability for triangulated categories

Course Description: Neeman has recently introduced certain new techniques in the study of triangulated categories. These have been used to prove many important results, and have settled multiple open problems in algebraic geometry. In this course, we will discuss both these abstract techniques, and the growing body of works related to them along with several applications. In particular, we will introduce good metrics, completions, approximable triangulated categories, and see their various properties.