学术报告

【online】Volume comparison for Fano manifolds and K-stability

发布人：发布时间： 2020-05-07

字体大小： 【小】 【中】 【大】

**题 目：**Volume comparison for Fano manifolds and K-stability

**摘要：**The celebrated Bishop-Gromov comparison theorem states that the round sphere has the maximum volume for all closed Riemannian manifold with a fixed positive lower bound on Ricci curvature. In the case of K\"ahler manifolds with positive Ricci curvature (in other words, Fano manifolds), natural candidate with maximum volume is the complex projective space. In this talk, I will survey recent progress on establishing the volume comparison for Fano manifolds by the work of Fujita, Zhang, and myself. A key idea in this progress is a new algebraic criterion of K-stability discovered by Fujita and Li. If time permits, I will also discuss a relevant invariant called the greatest Ricci lower bound.

**报告人：**刘雨晨（Yale University）

**报告方式：** Zoom 会议 （会议 ID：998 4236 5155 密码：917609）

**时间：**2020 年 5月15日 09:00-11:00

**邀请人：**许奕彦