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UID:2021042201440820210421T16000020210421T1650006080d4e85fb10@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20210421T081802
DTSTART:20210421T160000
DTEND:20210421T165000
SUMMARY:Commutative Algebra Seminar: Multiplicities of Jumping Numbers, by Swaraj Pande
DESCRIPTION:Swaraj Pande (University of Michigan): Multiplicities of Jumping Numbers Multiplier ideals are very refined invariants that measure the singularities of algebraic varieties. They give rise to many other interesting invariants, for example, the log canonical threshold and more generally, jumping numbers. This talk is about another related invariant, namely multiplicities of jumping numbers that measure the difference between successive multiplier ideals. The main theorem here is that these multiplicities fit into a quasi-polynomial. We'll also discuss when the various components of the quasi-polynomial have the highest possible degree relating it to Rees valuations. Finally, we'll consider the special case of monomial ideals where these invariants have a combinatorial description in terms of the Newton polyhedron. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:Zoom Chicago IL
CLASS:PRIVATE
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