This talk will attempt to survey the key theorems involving Castelnuovo-Mumford regularity, featured in the introductions of three preprints.

Building on work of Harm Derksen and Jessica Sidman, in 2016 Bruno Benedetti, Michela Di Marca, and Matteo Varbaro deduced a general result concerning the regularity of certain line configurations in projective space. This work was preceded by a Benedetti-Varbaro preprint on dual graphs of Cohen-Macaulay algebras, which our seminar will focus on up until Spring Break.
Speaker(s): Robert Walker (University of Michigan)