应兰州大学数学与统计学院邀请，芝加哥大学（University of Chicago）Ben Lowe博士将于2026年1月13日（星期二）早晨进行在线学术报告，欢迎广大师生参加。

报告题目：Minimal Surfaces in Hyperbolizable Manifolds

时 间：2026年1月13日（星期二）10:00

Zoom会议：533 316 1908

会议密码：202601

报告摘要：The geodesic flow of a compact negatively curved Riemannian manifold is one of the hallmark examples of a chaotic dynamical system, and there is a rich theory devoted to the interplay between the geometry of a negatively curved Riemannian manifold and the asymptotic behavior of its closed geodesics.

Minimal surfaces can be thought of as higher-dimensional versions of geodesics, that locally minimize area in the same way that geodesics locally minimize length. In this talk, I will describe recent work on the asymptotic behavior of minimal surfaces in negatively curved Riemannian manifolds that is motivated by what is true for geodesics, with a focus on rigidity phenomena involving scalar curvature. Ideas from dynamical systems remain important, but a key difference is that the proofs often depend crucially on tools from geometric analysis, such as the Ricci flow, in order to prove the same kinds of results for minimal surfaces as for geodesics. Partially based on joint work with Andre Neves.

报告人简介

Ben Lowe博士，美国芝加哥大学L.E.Dickson Instructor(博士后)。其研究方向包括几何分析，微分几何，极小曲面以及双曲几何与动力系统。Ben Lowe博士于2022年在美国普林斯顿大学取得博士学位，导师为著名几何学家Fernando Coda Marques。其研究成果发表在包括Geometric and Functional Analysis，Journal of Differential Geometry，American Journal of Mathematics，Annales scientifiques de l’École normale supérieure等国际一流学术期刊上，论文合作者包括Andre Neves，David Fisher、Mikolaj Fraczyk等知名数学家。

数学与统计学院

甘肃应用数学中心

萃英学院

2026年1月12日