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Perfectoid multiplier/test ideals and symbolic powers

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

March 16, 2018 (02:30 PM PDT - 03:30 PM PDT)
Speaker(s): Linquan Ma (Purdue University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



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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