Professor Gary McGuire (UCD, Claude Shannon Institute)

will speak on

Fourier Transforms on Finite Fields and an Application of Stickelberger's Theorem

Time: 5:00PM
Date: Wed 25th April 2007
Location: Mathematical Sciences Seminar Room [map]

Abstract: We will introduce the topic of Fourier transforms on finite fields.
We explain an approach to determining the Fourier spectrum
using Gauss sums and p-adic valued characters on the
multiplicative group of a finite field, and Stickelberger's theorem.
We apply the techniques to certain functions
on fields of characteristic 2. We shall conclude with some open
problems, in both odd and even characteristic.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)

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