报告题目：Positive Scalar curvature and volume growth

报告人：朱星宇，Michigan StateUniversity

报告时间：2026年11月2日（周一）13:00-15:00

报告地点：20-200

报告摘要：In 1985, Gromov proposed several conjectures about large scale topological and geometric consequences of uniformly positive scalar curvature. They all reflect that uniformly positive scalar curvature forces codimension two in large scales. One of the conjectures is that under additional nonnegative Ricci curvature condition, the volume growth of a geodesic ball of radius $r$ is at most of the order $r^{n-2}$.

In this talk, we present (the outline of) the proof of this conjecture, highlighting the new ideas that involve heat flow, splitting and geodesic flow. This is joint work with Bochao Kong with substantial AI assistance.

报告人简介：朱星宇2022年博士毕业于Georgia Institute of Technology，先后在加拿大Fields Institute、德国Universitat Bonn、美国Michigan State University担任博士后研究员，将于2027年加入浙江大学任助理教授。朱星宇的主要研究方向为几何分析和几何群论，在Ricci曲率（特别是RCD空间中分析）和度量曲率方面有突出成果。

邀请人：陈乐天