Title: Applications of number theory to coding theory
Abstract: Whenever information
is transmitted over a noisy channel, inevitably some of the information
is lost or distorted. It is vital to be able to recover the lost
or distorted data from the data that is received. For instance, if
coding theory was not used then your Netflix movies would constantly
crash and freeze up. One can use algebraic geometry and number theory
to construct codes. In this talk I will introduce the very basics of
coding theory and then talk about how algebraic number theory,
algebraic geometry, and modular forms come into play when studying
coding theory. I will conclude with some undergraduate research I
supervised along with Felice Manganiello this past summer.
Refreshments at 3:30pm in Neill 216