Time:9:00-12:00, Wednesday, February 26 2025
Tencent Meeting:409 9581 4561
Password: 583483
Host:Jintian Zhu, ITS
Speaker:Hongzhi Huang, Jinan University
Title:Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open 4-Manifolds
Abstract:Let M be a 4-dimensional open manifold with nonnegative Ricci curvature. We prove that if the universal cover of M has Euclidean volume growth, then the fundamental group is finitely generated and contains an abelian subgroup whose index is bounded by a universal contant. This is joint work with Xian-Tao Huang.