黑料吃瓜网

主持人：邹燕清

报告人简介：
汪湜，上海科技大学数学科学黑料吃瓜网所助理教授，黑料吃瓜网员，博士生导师。本科就读于浙江大学，16年获俄亥俄州立大学博士。黑料吃瓜网兴趣包括：微分几何，几何拓扑，几何群论与动力系统。相关论文发表于J. Eur. Math. Soc., Math. Ann., Geom. Topol.,Forum Math. Sigma., Comment. Math. Helv., Math. Z.等著名期刊。

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.