
Daniel will give the math table talk next Tuesday (April 9nd). His
title and abstract are below.
Title: Geometry in the nonarchimedean world
Abstract. In number theory, there are numbers called padic numbers that
are treated on an equal footing as the real numbers. We have some idea
of how to do geometry over the real numbers; we learn about manifolds
and stuff. But how do we do geometry over the padic numbers?
In this talk, I will try to explain why padic numbers naturally arise
in studying numbers. These numbers satisfy a certain nonarchimedean
property, and geometry becomes horribly nonintuitive due to this. I
will talk about how people developed different notions of geometry to
overcome this. We will also see why number theorists visualize
padic numbers as a fractallike tree figure.
