几何与拓扑讨论班——The natural flow and the critical exponent

报告人：Shi Wang，ShanghaiTech University

Pretalk

主题：Basics in nonpositive curvature

时间：2025年3月24日，16:15-16:45

摘要：We review basics in nonpositive curvature.

Research Talk

主题：The natural flow and the critical exponent

时间：2025年3月24日，16:45-17:15

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.

地点：紫金港校区海纳苑2幢204室

组织者：Hana Jia Kong, Song Sun,

              Lei Wu, Weiwei Wu