Yevgeny Liokumovich (U of T)

Math & Stats Department Colloquium

Friday, September 8th, 2023

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: Yevgeny Liokumovich (U of T)

Title: Minimal surfaces, metric geometry and scalar curvature

Abstract: Which manifolds admit metrics of positive scalar curvature? What are the geometric properties of such metrics? Minimal surfaces play a key role in the recent progress made in answering these questions. These developments also inspired new results about a macroscopic analog of scalar curvature in the geometry of metric spaces. I will describe the interplay between scalar curvature and macroscopic scalar curvature, and explain how this relationship yields new findings in both areas.