Title: Direct summand conjecture and perfectoid Abhyankar lemma: an overview
Speaker: Prof. Yves André (CNRS, Institut de Mathématiques de Jussieu)
Time: 2016-11-2, 17:00-18:00
Place: MCM;110
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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