课程名称:Riemannian Geometry for Ricci Flow andPoincaré Conjecture I (用于里奇流和彭加勒猜想的黎曼几何)
主讲人:Rugang Ye, University of California, Santa Barbara
日期:2025年 9月10日(周3), 9月11日(周4), 9月15日(周1)
时间:19:00--21:00
地点:第二教学楼 2206 教室
课程内容:
Cheeger-Gromoll Splitting Theorem for Riemannian manifolds of nonnegative Ricci curvature
Cheeger-Gromoll-Meyer Soul Theorem for Riemannian manifolds of nonnegative sectional curvature
Epsilon-necks in Riemannian manifolds of nonnegative sectional curvature and their role in Perelman’s proof of the Poincaré conjecture via Ricci flow