Fri, November 21, 2025
3:30 pm - 4:30 pm
Math Tower (MW) 154
Xin Zhou
Cornell University
Title
Existence of four minimal spheres in S^3 with a bumpy metric
Abstract
In 1982, S. T. Yau conjectured that there exists at least four embedded minimal 2-spheres in the 3-sphere with an arbitrary metric. In this talk, we will show that this conjecture holds true for bumpy metrics and metrics with positive Ricci curvature. This is a joint work with Zhichao Wang (Fudan University).