研讨班报告

学术报告:Direct summand conjecture and perfectoid Abhyankar lemma: an overview

发布时间:2016-10-28

中科院数学与系统科学研究院

数学研究所

 

学术报告会

 

报告人 Yves André (CNRS, Institut de Mathématiques de Jussieu )

 目:Direct summand conjecture and perfectoid Abhyankar lemma: an overview

  2016.11.02(星期三),17:00-18:00

  点:晨兴110(视频)

Abstract:

According to Hochster's direct summand conjecture (1973), a regular ring R is a direct summand, as an R-module, of every finite extension ring. We shall outline our recent proof which relies on perfectoid techniques. Similar arguments also establish the existence of big Cohen-Macaulay algebras for complete local domains of mixed characteristics.


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