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Adjoining p-power roots of the discriminant

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

March 15, 2018 (10:00 AM PDT - 11:00 AM PDT)
Speaker(s): Judith Ludwig (Max-Planck-Institut für Mathematik)
Location: MSRI: Simons Auditorium
  • perfectoid geometry

  • almost flat extensions of perfectoid algebras

  • direct summand conjecture

  • adjoining p-power roots

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



In this talk we'll discuss André's construction of almost faithfully flat extensions of perfectoid algebras obtained by adjoining a compatible system of p-power roots of a fixed element. We will also give some background on Zariski closed subsets of perfectoid spaces as this is used in the construction of the extensions

30961?type=thumb Ludwig 420 KB application/pdf Download
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