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Seminar

j-multiplicity: A survey November 20, 2012 (11:25 AM PST - 11:55 AM PST)
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Location: SLMath: Eisenbud Auditorium
Speaker(s) Jonathan MontaƱo (Arizona State University)
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Abstract/Media

The j-multiplicity was introduced by Achiles and Manaresi in
1993 as a generalization of the Hilbert-Samuel multiplicity for arbitrary ideals in a Noetherian ring. Many of the properties and algebraic applications of the Hilbert-Samuel multiplicity of zero dimensional ideals have been extended to more general classes of ideals using the j-multiplicity.

In this talk, I will review some of these properties and applications. At the end of the talk, I will briefly discuss my current research in this area.

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