Mar 25, 2025 3:30 pm
Transportation Building 203
- Sponsor
- Department of Mathematics
- Speaker
- Yangyang Li (UChicago)
- Contact
- Pierre Albin, Eric Chen, Pei-Ken Hung, Gabriele La Nave
- palbin@illinois.edu, ecchen@illinois.edu, pkhung@illinois.edu, lanave@illinois.edu
- Views
- 39
- Originating Calendar
- Mathematics Seminar Series: Geometric Analysis
Title: Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Abstract: In 1989, Brian White conjectured that every Riemannian 3-sphere contains at least five embedded minimal tori. The number five is optimal, corresponding to the Lyusternik-Schnirelmann category of the space of Clifford tori. I will present recent joint work with Adrian Chu, where we confirm this conjecture for 3-spheres of positive Ricci curvature. Our proof is based on min-max theory, with heuristics largely inspired by mean curvature flow.