Generalized multiplicities and integral dependence-II

Bernd Ulrich (Purdue University)

26-Feb-2021, 13:00-14:00 (3 years ago)

Abstract: These two talks will give a survey about multiplicity based criteria for the integral dependence of ideals. This subject has close connections with equisingularity theory and intersection theory, which will be discussed as well. The first numerical criterion for integral dependence was proved in the 1960s by Rees who treated the case of zero-dimensional ideals using the Hilbert-Samuel multiplicity. Criteria for arbitrary ideals require generalized notions of multiplicities. We will discuss various such notions and talk about how they are used to detect integral dependence. The most recent results are from joint work with Claudia Polini, Ngo Viet Trung, and Javid Validashti.

Mathematics

Audience: advanced learners


IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home

Organizers: Jugal Kishore Verma*, Kriti Goel*, Parangama Sarkar, Shreedevi Masuti
Curator: Saipriya Dubey*
*contact for this listing

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