Adèle Bourgeois (uOttawa)
Representation theory is a branch in mathematics that allows the study of abstract algebraic structures, such as groups. It has many applications in other mathematical fields, which include Fourier analysis, geometry and number theory. To understand the representations of a given group, it suffices to study what we call its irreducible representations. In this talk, we will introduce the group of p-adic integers and determine the irreducible representations of this group.
Irreducible Representations of the p-adic Integers