URegina Topology & Geometry Seminar: Martin Frankland

In Manak's talk, we learned what a deformation functor is. We will explore this notion more in depth and look at some examples. Deformation functors allow us to make the idea of a "formal moduli problem" more precise. Time permitting, we will discuss Schlessinger's theorem, giving conditions for a deformation functor to be well approximated by a pro-representable one.