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Algebra SeminarExport this event to calendar

Tuesday, September 25, 2018 — 2:30 PM EDT

Simon Crawford, Department of Pure Mathematics, University of Waterloo

"Deformations of Quantum Kleinian Singularities"

In recent work, Chan--Kirkman--Walton--Zhang defined a family of noncommutative rings which they call quantum Kleinian singularities, which may be thought of as noncommutative analogues of (the coordinate rings of) Kleinian singularities. Crawley-Boevey and Holland showed how to deform Kleinian singularities, and in this talk I will show that the same is possible for quantum Kleinian singularities. I will discuss some of the properties of these deformations, and compare the behaviours of the deformations in the quantum and non-quantum cases. I will also define a family of algebras called deformed quantum preprojective algebras, and show that these are Morita equivalent to deformed quantum Kleinian singularities.

MC 5403

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