|Date: Wednesday, January 28, 2015
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Ulrich bundles and arithmetically Cohen-Macaulay varieties
Abstract: Consider a smooth variety X embedded in projective space. Unless X is a projective space embedded linearly, the graded section ring for the embedding will have an isolated singularity. One approach to studying these singularities, and thus the geometry of X, is to consider maximal Cohen-Macaulay modules over the section ring. This leads to the notion of arithmetically Cohen-Macaulay (aCM) varieties and aCM bundles. I will overview some of the trends in the study of aCM bundles with a special emphasis on certain class of aCM bundles called Ulrich bundles. In particular, I will explain some of the remarkable consequences of the mere existence of Ulrich bundles.
Speaker: Ian Shipman
Institution: University of Michigan