# Noetherian Ring Seminar Winter 2013

Thursday - 4pm

Refreshments served at 3:30 pm in the Tea Room #4161

McHenry Building - Room 4130

For more information, contact Liz Pannell

**February 7, 2013**

*Isoperimetric Inequalities*

*Isoperimetric Inequalities*

**Ellen Veomett, Saint Mary's College of California, Mathematics and Computer Science Department**

In this talk, we will consider various types of isoperimetric inequalities. We'll discuss the Brunn-Minkowski Theorem and use it to prove the Euclidean isoperimetric inequality. We will then move on to graphs and examine how the technique of compression can be used to prove Harper's Theorem, a discrete isoperimetric inequality on the boolean cube. We'll look at other isoperimetric inequalities on graphs, including some recent results for a family of graphs on Z^n.