Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Rachel Petrik, University of Kentucky
Title: Constructing the p-adic Integers
Abstract: For a prime p, the p-adic integers Z_p is the valuation ring of the field of p-adic numbers Q_p. In this talk, we will explicitly construct Zp as a ring of coherent sequences and explore its algebraic and topological properties. We will then explore the multiplicative structure of Q_p using Hensel's Lemma.
Event Series: