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Seminar

COMA Special Topics Seminar: "DG Tricks in Local Algebra V" March 04, 2024 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Benjamin Briggs (University of Copenhagen; University of Utah)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

DG Tricks in Local Algebra V

Abstract/Media

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This time we will introduce cohomological support varieties: an invariant for local rings and modules whose definition is tied to Eisenbud operators and matrix factorisations. We'll talk about have they can be used to prove some results of Avramov and Buchweitz on the homological algebra of complete intersections, and then move onto a more general perspective developed by Pollitz. Finally, we'll try to understand a useful connection between cohomological support varieties and the homotopy Lie algebra.

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DG Tricks in Local Algebra V