Adjoining p-power roots of the discriminant
Hot Topics: The Homological Conjectures March 12, 2018 - March 16, 2018
Location: MSRI: Simons Auditorium
almost flat extensions of perfectoid algebras
direct summand conjecture
adjoining p-power roots
13B40 - Étale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25]
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
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