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UID:2021011907191620210113T16000020210113T165000600730b422191@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20210119T011827
DTSTART:20210113T160000
DTEND:20210113T165000
SUMMARY:Commutative Algebra Seminar: Some homological characterisations of complete intersections, by Benjamin Briggs
DESCRIPTION:Benjamin Briggs (University of Utah): Some homological characterisations of complete intersections For any ideal I of finite projective dimension in a local ring R, Vasconcelos conjectured that I is complete intersection if and only if the conormal module I/I^2 has finite projective dimension over R/I. Quillen made a similar conjecture earlier: I is complete intersection if and only if the cotangent complex of R/I over R has finite projective dimension (this was established by Avramov in 1999). I'll try to explain why the similarity between these conjectures is not just superficial, and how you can in fact prove a result generalising the two about "higher conormal modules" (I'll explain what these are, and also give some background on the cotangent complex). This is joint work with Srikanth Iyengar. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:Zoom Chicago IL
CLASS:PRIVATE
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