Student Commutative Algebra Seminar

I'll define the notion of what it means for an element to be integral over an ideal and then talk about the integral closure of an ideal, also providing a geometric definition of the same. I'll then go over the case of monomial ideals in detail where we can very explicitly describe the integral closure. If time permits, I'll briefly talk about the Briancon-Skoda theorem and provide a sketch of the proof.
Zoom Link for the talk: https://umich.zoom.us/j/99835724541 Speaker(s): Sridhar Venkatesh (University of Michigan)