URegina Topology and Geometry Seminar: Thomas Stanley

In this talk I will define a category internal to complex manifolds which I call holomorphic Lie categories. Given a holomorphic Lie category, there is a category of complex sheaves associated to it which can be used to construct various algebras. I will use holomorphic Lie categories to construct a known class of noncommutative algebras called the Feigin-Odesskii algebras. This talk is based on work from my PhD thesis.