Home /  GMT and Minimal Submanifolds Seminar: Existence of 5 minimal tori in 3-spheres of positive Ricci curvature

Seminar

GMT and Minimal Submanifolds Seminar: Existence of 5 minimal tori in 3-spheres of positive Ricci curvature September 23, 2024 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Adrian Chun-Pong Chu (University of Chicago)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Existence of 5 minimal tori in 3-spheres of positive Ricci curvature

Abstract/Media

Zoom Link

In 1989, B. White conjectured that every Riemannian 3-sphere has at least 5 embedded minimal tori. I will present a recent work with Yangyang Li, in which we confirm this conjecture for 3-spheres of positive Ricci curvature. While our proof uses min-max theory, the underlying heuristics are largely inspired by mean curvature flow. 

No Notes/Supplements Uploaded

Existence of 5 minimal tori in 3-spheres of positive Ricci curvature