Thursday, February 24
Milner 317, 1:00 PM
Title: Some geometry of numbers in function fields
Abstract: A basic theme in the geometry of numbers is to determine whether or not there is a lattice point in a given type of region. Many methods used in the classical setting of Euclidean space carry over to more generic situations. As an example, we'll see how the notions of Minkowski's "first minima" and "Hermite's constant" can be realized in an adelic setting; in particular, for function fields over finite fields. If time permits, we'll look into an application of these and related ideas.