Noncommutative hypersurfaces and support theory for Hopf algebras

Abstract: 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.

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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