September 22, 2023

**Title:** *Lie-Rinehart algebras and non-commutative geometry*

**Speaker:** Bjarne Kosmeijer

In this talk we will introduce Lie-Rinehart algebras, the algebraic counterpart to Lie algebroids, and discuss elements of their non-commutative geometry, as to work towards the statement "The Hochschild cohomology of the universal enveloping algebra of a Lie-Rinehart algebra is isomorphic to the cohomology associated to the symmetric powers of the adjoint".

The first part of the talk will be used to define Lie-Rinehart algebras and associated concepts. In the second part we will discuss the mentioned theorem, following a preprint in final preparation joint with Hessel Posthuma.