# Number Theory Seminar

Presented by: Asmita Sodhi

​Title: “Integer-Valued Polynomials over $p\times p$ Matrices​”

​Abstract: ​

We journey once more to the land of integer-valued polynomials, introducing (or reintroducing, as the case may be) the definition for a subset of the integers, before focusing on their analogue when defined over the ring $M_n(\mathbb{Z})$ of $n\times n$ integer matrices. The problem of classifying integer-valued polynomials over matrices is equivalent to that of integer-valued polynomials over maximal orders, so we will establish the structure of the maximal order used to examine this problem when $n$ is a prime, as well look at steps towards constructing a basis of integer-valued polynomials in this case.

#### Category

Lectures, Seminars

Starts:
Ends:

Chase Room 319

Free