Virtual Commutative Algbera Seminar
Friday, 24 March 2023, 6.30 p.m.
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Venue: meet.google.com/upz-rfxh-uob
Host: J. K. Verma
Speaker: Takumi Maruyama
Affiliation: Purdue University, USA
Title: Uniform bounds on symbolic powers in regular rings via closure theory
Abstract: The containment problem asks: For a fixed ideal I, which symbolic powers of I are contained in an ordinary power of I? We present a closure-theoretic proof of the theorem which says that for ideals I in regular rings R, there is a uniform containment of symbolic powers of I in ordinary powers of I.