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发表时间:2019-06-14 阅读次数:188次
报告题目: Glimpses of equivariant algebraic topology
报 告 人:Prof. Peter May
报告人所在单位:University of Chicago
报告日期:2019-06-14 星期五
报告时间:15:30-16:30
报告地点:光华东主楼2001
  
报告摘要:

From P.A. Smith theory to the Connor conjecture to the present. Around 1940, P. A. Smith proved the remarkable result that if a finite $p$-group $G$ acts on a compact space $X$ that has the mod $p$ homology of a sphere, then the fixed point space $X^G$ also has the mod $p$ homology of a sphere. Around 1960, Pierre Conner conjectured that if a compact Lie group $G$ acts on a space $X$, then under certain finiteness conditions the vanishing of the cohomology of $X$ implies the vanishing of the cohomology of the orbit space $X/G$. Equivariant algebraic topology has developed in fits and starts ever since. It has recently become one of the very most central areas of that subject. I'll give some glimpses of what equivariant cohomology is and how it applies to prove Smith theory and the Conner conjecture. I'll say just a little about current directions and questions.

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本年度学院报告总序号:130

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