学术报告

为了进一步打造我院良好的学术文化环境，持续提高师生们的学术水平、逐步阔宽研究视野，我院有幸邀请到了Texas A&M University助理教授 吴健超为我院做学术报告。报告主要内容如下：  

   The rational strong Novikov conjecture is a deep problem in noncommutative geometry. It implies important conjectures in manifold topology and differential geometry such as the (classical) Novikov conjecture on higher signatures and the Gromov-Lawson conjecture on positive scalar curvature. Using C*-algebraic and K-theoretic tools, we prove that the rational strong Novikov conjecture holds for any discrete group admitting an isometric and proper action on an admissible Hilbert-Hadamard space, which is a (typically infinite-dimensional) generalization of complete simply connected nonpositively curved Riemannian manifolds. As a result, our result implies the rational strong Novikov conjecture holds for geometrically discrete subgroups of the group of volume preserving diffeomorphisms of a closed smooth manifold. This is joint work with Sherry Gong and Guoliang Yu.

 

欢迎感兴趣的老师和学生参加！

 

报告人：吴健超

题目：The rational strong Novikov conjecture, groups of diffeomorphisms, and Hilbert-Hadamard spacess

报告时间：2019.12.27上午10点

报告地点：哲理楼235教室

邀请人：田更

 

   报告人简介：吴健超， Vanderbilt University  Ph.D，Novikov猜想方面专家。