Home /  Fellowship of the Ring, National Seminar: Noncommutative hypersurfaces and support theory for Hopf algebras

Seminar

Fellowship of the Ring, National Seminar: Noncommutative hypersurfaces and support theory for Hopf algebras September 24, 2020 (12:00 PM PDT - 02:00 PM PDT)
Parent Program: --
Location: SLMath: Online/Virtual
Speaker(s) Cris Negron (University of North Carolina)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Noncommutative Hypersurfaces And Support Theory For Hopf Algebras

Abstract/Media

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I will talk about a new approach to support theory for noncommutative (Hopf) algebras which mirrors Avramov and Buchweitz’ support theory for commutative local complete intersections.  I will explain what this support theory entails for ``noncommutative complete intersections", and relevant examples coming from quantum linear spaces, functions on finite group schemes, and quantum groups.  I will also explain how this support theory is used to classify thick ideals in the associated stable representation categories.  No familiarity with these topics is assumed, and everything in the talk should be explained in relatively basic terms.  This is joint work with Julia Pevtsova.

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Noncommutative Hypersurfaces And Support Theory For Hopf Algebras

H.264 Video 25293_28851_8520_Noncommutative_Hypersurfaces_and_Support_Theory_for_Hopf_Algebras.mp4