Existence of four minimal spheres in S^3 with a bumpy metric

主讲人 Speaker:Xin Zhou (Cornell University)
时间 Time:Wed., 10:00 am-12:00, July 26, 2023
地点 Venue:Conference Room 3, Jin Chun Yuan West Bldg. (近春园西楼第三会议室)


In this talk, I will present a proof that in the three dimensional sphere with a bumpy metric or a metric with positive Ricci curvature, there exist at least four distinct embedded minimal two-spheres. This confirms a conjecture of S. T. Yau in 1982 for bumpy metrics and metrics with positive Ricci curvature. This is based on a joint work with Zhichao Wang.