Algebraic Geometry Working Seminar | Boris Li | Filtered Deformations of Trivariate Polynomial Rings

Boris Li, University of Waterloo

Filtered Deformations of Trivariate Polynomial Rings

Among non-commutative rings, those satisfying a polynomial identity (PI) are especially well-behaved. They share many properties with commutative rings, which we understand well. Etingof asked whether every filtered deformation of a finitely generated commutative domain, over an algebraically closed field of positive characteristic, is PI. In this talk, we will answer this question of Etingof affirmatively for deformations of polynomial rings in three variables. In the pre-seminar, I will define and discuss the properties of filtered deformations

MC 5403