URegina Topology & Geometry Seminar: Martin Frankland

In Allen's talk, we learned that the deformations of an algebra A can be classified by certain Hochschild cohomology classes. In this talk, we will see that the Hochschild cochains of A can be endowed with a differential graded (DG) Lie algebra structure. The Maurer-Cartan equation describes the solutions to the deformation problem. In this way, the DG Lie algebra can recover the cohomological classification.