Yevgeny Liokumovich (U of T)
Date
Friday September 8, 20232:30 pm - 3:30 pm
Location
Jeffery Hall, Room 234Event Category
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.