Elements of Transformation Groups and Orbifolds[June 26-June 28, 2008]

2008-06-10 来源:数学科学研究中心

活动地点:

活动类型:学术报告

主讲人:吕志教授(复旦大学)

活动时间:

活动内容:

Summer shool on "Transformation Groups and Orbifolds" 预备班----
题目:Elements of Transformation Groups and Orbifolds

内容简介:
First, I will intorduce basic notations and examples on transformation grops, such as  topological groups, G-spaces. Then, topics I would like to cover are as follows:
One is on equivariant cohomology. This involves Borel construction, principal bundle, localization theorem etc. The next one is on the calculation of equivariant cohomology. This contains
two theories--Davis-Januszkiewicz theory and GKM theory. Finally, I would like to discuss the equivariant classification up to homeomorphism (diffeomorphism), cobordism, homotopy etc.