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SUMMARY:Bernd Ulrich (Purdue University)
DTSTART:20210226T130000Z
DTEND:20210226T140000Z
DTSTAMP:20260423T021012Z
UID:VCAS/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/48/">Ge
 neralized multiplicities and integral dependence-II</a>\nby Bernd Ulrich (
 Purdue University) as part of IIT Bombay Virtual Commutative Algebra Semin
 ar\n\n\nAbstract\nThese two talks will give a survey about multiplicity ba
 sed criteria\nfor the integral dependence of ideals. This subject has clos
 e connections\nwith equisingularity theory and intersection theory\, which
  will be\ndiscussed as well. The first numerical criterion for integral de
 pendence\nwas proved in the 1960s by Rees who treated the case of zero-dim
 ensional\nideals using the Hilbert-Samuel multiplicity. Criteria for arbit
 rary\nideals require generalized notions of multiplicities. We will discus
 s\nvarious such notions and talk about how they are used to detect integra
 l\ndependence. The most recent results are from joint work with Claudia\nP
 olini\, Ngo Viet Trung\, and Javid Validashti.\n
LOCATION:https://researchseminars.org/talk/VCAS/48/
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