Speaker: Claudia Miller

Title: Duality for Koszul Homology over Gorenstein Rings

Abstract: When a ring is Gorenstein, certain modules over it often exhibit nice duality properties. I will discuss the history of one such classic duality due to Herzog, namely on the Koszul homologies of an ideal, which holds under certain strong conditions on the ideal, and then a generalization to all ideals (still over a Gorenstein ring) which is joint work with Hamid Rahmati and Janet Striuli.