Surgery theory and applications  to the Novikov conjecture系列报告

报告题目：

Wed 16th: Applications of the h-cobordism theorem: Manifolds,   polyhedra and knots

Thu 17th: Manifolds with finite fundamental group, and the role of   secondary invariants

 Fri 18th: The Borel conjecture, groups with torsion

 Mon 21st a.m.:

 Persistent Homology of Data, Groups, and Function Spaces

Abstract:  In many areas of mathematics and science, one attempts to discover features of an object from a small subset of it or infer features of a space enveloping an object from the object.  For this be possible, the issue of scale must be confronted.  Persistence homology is one interesting way of dealing with the geometry of multi-scale phenomena. This lecture focuses on this mathematical construction and its robustness, with applications to data analysis, geometric group theory, topology, and Riemannian geometry.  If there is time, I will speculate about other possible directions of application.

 Mon 21st p.m.: Generalizations of classical Surgery theory, and applications  to the Novikov conjecture, group actions, and algebraic varieties

报告人：Professor Shmuel Weinberger

Univ. of Chicago, USA

时间：2010年6月16日-18日 上午 9:00-11：15

2010年6月21日上午9：00-11：15

2010年6月21日下午 2:00-4:15
地点：光华东主楼1415