Janet Page : An Introduction to p-adic Analysis

Posted by Abel Castillo , part of the Graduate Number Theory Seminar.

At

Dec. 11, 2012, 3 p.m.

In

SEO 512

Abstract

This talk will serve as an introduction to p-adic numbers and p-adic analysis. We will begin by highlighting the similarities between $\mathbb{Z}$ and $\mathbb{C}[X]$ and use this analogy to introduce the notion of p-adic numbers. We will introduce the p-adic absolute value in contrast to the standard absolute value, and our talk will culminate in a proof of Hensel's Lemma.