20250904 汪湜 The natural flow and the critical exponent

报告题目: The natural flow and the critical exponent

报告人: 汪湜

单位: 上海科技大学

报告时间: 2025.09.04 10：00

报告地点: 数学院425

报告摘要:

      For a complete Riemannian manifold of nonpositive curvature, we introduce a flow. We give an upper bound on the k-Jacobian of the flow in terms of the critical exponent of the fundamental group. We also give several applications connecting the geometry and topology of the manifold, which includes the linear isoperimetric inequality, the homological vanishing theorem and the non-existence of compact complex subvarieties in certain complex hyperbolic manifolds. This is joint work with Chris Connell and Ben McReynolds.

报告人简介:

      汪湜，上海科技大学数学科学研究所助理教授，研究员，博士生导师。2016年于美国俄亥俄州立大学博士毕业。研究兴趣包括：微分几何，几何拓扑，几何群论与动力系统。在J.Eur.Math.Soc., Math.Ann., Geom.Topol., Comment.Math.Helv.等刊物上发表论文十余篇。