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Perfectoid spaces II

Hot Topics: The Homological Conjectures March 12, 2018 - March 16, 2018

March 13, 2018 (04:00 PM PDT - 05:00 PM PDT)
Speaker(s): Kestutis Cesnavicius (Centre National de la Recherche Scientifique (CNRS))
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Perfectoid ring

  • perfectoid space

  • Tate acyclicity

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

8-Cesnavicius
Abstract

I will begin by discussing Noetherian approximation for perfectoid rings of characteristic p and will use this to deduce Tate acyclicity for affinoid perfectoid spaces. I will proceed to define perfectoid spaces that are not necessarily affinoid and discuss the tilting equivalence. I will conclude with some comments on the absolute theory of perfectoid spaces (that is, not over a perfectoid field).
Supplements
30927?type=thumb Cesnavicius Notes 6.77 MB application/pdf Download
Video/Audio Files

8-Cesnavicius

H.264 Video 8-Cesnavicius.mp4 493 MB video/mp4 rtsp://videos.msri.org/8-Cesnavicius/8-Cesnavicius.mp4 Download
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