报告人：李天军 教授

报告时间：7月31日下午 4:00-5:00

报告地点：数学院一楼报告厅

报告摘要： 

 In this talk I  will give a survey to the classification schemes of smooth manifolds.

A smooth manifold is a topological space that is locally similar to an Euclidean space and allows to do calculus.

The classification of smooth manifolds is a basic question with a long history.

In principle, low dimensional manifolds are classified by geometry structure and high dimensional manifolds are classified algebraically, by surgery theory. Dimension 4 is the middle dimension in this story. There are spectacular results about smooth 4-dimensional manifolds but many mysteries remain.