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关于举行杨百翰大学Gregory R. Conner 教授学术报告会的通知

发布时间:2017-04-12文章来源:浏览次数:62

报告题目:FundamentalGroup and First Homology Group

报告人:GregoryR. Conner教授(杨百翰大学)

报告时间:2017年04月13日(星期四)下午16:00-17:00 

报告地点:4号楼4131室

 

欢迎广大师生前往!

 

                                                                   数学学院

                                                                2017年04月12日

报告摘要:

   Onewould often like to be able to check if two topological spaces areequivalent (homeomorphic).

 Historicallypeople have used invariants such as the fundamental group andhomology to tell apart nice

locallysimple spaces such as manifolds and simplicial complexes. Recently many questions have arisen in

modernmathematics concerning spaces which are locally complicated suchas attractors and boundaries.  

We discusshow, in low dimensions, that homology is very poor atdistinguishing between locally

complicatedspaces while the fundamental group is often a perfect invariant bydiscussing an interesting

menagerieof examples.