应兰州大学数学与统计学院邀请，美国西北大学数学系阮宇平博士后将于2024年12月21日（星期六）进行在线学术报告，欢迎广大师生参加。

报告题目：Simplicial volume and isolated, closed totally geodesic submanifolds of codimension one

时 间：2024年12月21日（星期六）10:30 – 11:30

腾讯会议：890-686-6792

会议密码：202412

报告摘要：We show that for any closed Riemannian manifold with dimension at least two and with nonpositive curvature, if it admits an isolated, closed totally geodesic submanifold of codimension one, then its simplicial volume is positive. As a direct corollary of this, for any nonpositively curved analytic manifold with dimension at least three, if its universal cover admits a codimension one flat, then either it has non-trivial Euclidean de Rham factors, or it has positive simplicial volume. This is based on a joint work with Chris Connell and Shi Wang, arXiv:2410.19981.

报告人简介

阮宇平，美国西北大学数学系Boas Assistant Professor（博士后）,研究兴趣为微分几何与动力系统。他现在的研究工作的课题包括：Bounded cohomology and simplicial volume of nonpositively curved spaces；Absolute continuity of stationary measures；Riemannian metrics with ergodic geodesic flow.

数学与统计学院

甘肃应用数学中心

甘肃省高校应用数学与复杂系统省级重点实验室

2024年12月18日