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André, Yves [Author] ; Abbes, Ahmed (Organization) [Other]; Hu, Yongquan (Organization) [Other]; Orgogozo, Fabrice (Organization) [Other]; Saito, Takeshi (Organization) [Other]; Shiho, Atsushi (Organization) [Other]; Tian, Ye (Organization) [Other]; Tsuji, Takeshi (Organization) [Other]; Zheng, Weizhe (Organization) [Other]

Direct summand conjecture and perfectoid Abhyankar lemma: an overview

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  • Media type: E-Book; Video
  • Title: Direct summand conjecture and perfectoid Abhyankar lemma: an overview
  • Contributor: André, Yves [Author]; Abbes, Ahmed (Organization) [Other]; Hu, Yongquan (Organization) [Other]; Orgogozo, Fabrice (Organization) [Other]; Saito, Takeshi (Organization) [Other]; Shiho, Atsushi (Organization) [Other]; Tian, Ye (Organization) [Other]; Tsuji, Takeshi (Organization) [Other]; Zheng, Weizhe (Organization) [Other]
  • Published: [Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2016
  • Published in: Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo ; (Jan. 2016)
  • Extent: 1 Online-Ressource (1380 MB, 01:14:24:18)
  • Language: English
  • DOI: 10.5446/54719
  • Identifier:
  • Origination:
  • Footnote: Audiovisuelles Material
  • Description: Séminaire Paris Pékin Tokyo / Mercredi 2 novembre 2016 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
  • Access State: Open Access
  • Rights information: Attribution - Non Commercial (CC BY-NC)