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 )
题 目：Direct summand conjecture and perfectoid Abhyankar lemma: an overview
时 间：2016.11.02（星期三），17:00-18:00
地 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.