Perfectoid multiplier/test ideals and symbolic powers
Location: MSRI: Simons Auditorium
Inspired by the solution of the direct summand conjecture, we introduce perfectoid multiplier/test ideals in mixed characteristic. As an application, we prove the uniform bound on the growth of symbolic powers in regular local rings of mixed characteristic analogous to results of Ein--Lazarsfeld--Smith and Hochster--Huneke in equal characteristic. This is joint work with Karl Schwede
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