报告题目:Rational homotopy types of homotopy fixed point sets of Lie group actions
报告人:刘秀贵
单位:南开大学
时间:2023年2月20日15:00
腾讯ID:669-302-972
密码:123456
摘要:An action of a Lie group
on a space gives rise to two natural spaces, the fixed point set and the homotopy fixed point set. In this talk, when
is
or
and
is a
-space, we study the rational homotopy types of the homotopy fixed point set
, and the natural injection
. This talk is based on joint works with Yanlong Hao, Qianwen Sun and with Sang Xie.
简介:刘秀贵,南开大学教授,博士生导师。主要从事代数拓扑方面的研究工作,在球面稳定同伦群和有理同伦论等方面取得一系列研究成果,在《Algebraic and Geometric Topology》、《Topology and its Applications》、《Forum Mathematicum》等数学期刊发表论文40余篇。曾主持国家自然科学基金多项,以及教育部新世纪优秀人才支持计划项目。