Algebraic geometry seminar

Catherine St-Pierre, University of Waterloo

Group Actions in Non-Commutative Algebraic Geometry: a survey of homological property and invariants

We survey non-commutative analogues of classical regularity, Gorenstein, and Cohen-Macaulay properties in the framework of Artin-Schelter. After reviewing the foundational homological properties that govern this theory, we will focus on the structure of invariant rings under group and Hopf algebra actions and review some noncommutative analogues of classical results in invariant theory to characterize the invariant rings of noncommutative rings. The talk concludes with new results extending this invariant-theoretic framework.

MC 5403