Abstract: This talk will begin with examples of Artinian rings (mainly quotients of polynomial rings) and some structures defined over them. We will then explore (through examples) a special sub-class called Gorenstein Artin rings. Finally, I will talk about Gorenstein colength, a number that shows how close an Artinian ring is to being Gorenstein Artin.
This will be a non-rigorous and self-contained (as far as possible) talk. Prereqs include the knowledge of polynomials and computing partial derivatives of polynomials.

Local Host: Srikanth Iyengar