Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| 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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