Algebraic Geometry Learning Seminar

Parham Hamidi, Department of Pure Mathematics, University of Waterloo

"Integral advice on going up in the world¹!"

Now that we are done with definitions and a few boring results about integral homomorphisms, we can prove the Lying over and Going up Theorems. I will prove Nakayama’s Lemma using a simple trick and talk about some of its applications. Finally we would see how the Lying over and Going up Theorems can be interpreted geometrically in number theory in the theory of ramifications.

¹Once again thanks to Nick Rollick for the title.

MC 5413