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双周三学术报告会:Vanishing lines in chromatic homotopy theory and its applications
报告人:段智鹏博士 时间:2022年9月21日14:00 字号:

地点:行健楼526学术活动室

Abstract: In chromatic homotopy theory, the computation of homotopy fixed point spectral sequence for Lubin-Tate theory $E_n$ under actions of finite subgroups of the Morava stabilizer group is a central topic. In this talk, I will show that there is a vanishing line in each homotopy fixed point spectral sequence and give concrete filtration of these vanishing lines. This result is for all heights and all finite groups. In practice, this result is very useful for concrete calculations. As an application, I will show how it helps to determine higher differentials in $Q_8$-homotopy fixed point spectral sequence for $E_2$. This is joint work with Dr. Guchuan Li and Dr. Danny Shi.


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