中国科大学位与研究生教育
课程名称: 教师:
当前位置:
 >> 
 >> 
Intersection homology
Intersection homology
教师介绍
Associate Professor,Department of Mathematics,University of Wisconsin, Madison Areas of interest: Topology of hypersurface singularities; Hyperplane arrangements;Intersection homology, Perverse Sheaves and applications to Singularities;Characteristic classes of singular spaces;Hodge Theory.

本讲教师:Laurentiu Maxim
所属学科:理科
人  气:10190

课程介绍
The intersection homology of Goresky-MacPherson is a homology theory well-suited for the study of singular spaces. I will first introduce intersection homology in the geometric way, i.e. using chains that meet the strata of a singular space in a controlled way, and I will prove the basic properties of this theory, e.g. that it satisfies Poincare Duality (while the usual homology does not). If time permits, I will also characterize the intersection (co)homology groups in terms of sheaves (using a description due to P. Deligne), and describe various applications to Singularity theory.
致谢:本课件的制作和发布均为公益目的,免费提供给公众学习和研究。对于本课件制作传播过程中可能涉及的作品或作品部分内容的著作权人以及相关权利人谨致谢意!
课件总访问人次:24128187
中国科学技术大学研究生网络课堂试运行版,版权属于中国科学技术大学研究生院。
本网站所有内容属于中国科学技术大学,未经允许不得下载传播。
地址:安徽省合肥市金寨路96号;邮编:230026。TEL:+86-551-63602929;E-mail:wlkt@ustc.edu.cn。

扫一扫,手机版