# 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.