Adjoining p-power roots of the discriminant
Location: MSRI: Simons Auditorium
almost flat extensions of perfectoid algebras
direct summand conjecture
adjoining p-power roots
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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