Number Theory Seminar
Presented by: Asmita
Sodhi
Title: “Integer-Valued Polynomials on 3 × 3 Matrices”
Abstract:
In this talk we will visit (or revisit, as the case may be) the world of integer-valued polynomials, first defining them for a subset of the integers, as well as defining Bhargava’s p-orderings and $p$-sequences. We will then see how the idea of maximal orders can allow us to extend Bhargava’s tools to the noncommutative case of
integer-valued polynomials over the ring $M_n(\mathbb{Z})$ of $n\times n$ integer matrices. In particular, we will examine the case of the $3\times 3$ matrices.
Category
Lectures, Seminars
Time
Starts:
Ends:
Location
Seminar Room #227, Chase Building
Cost
Free
Contact
Ellen Lynch