Graduate Student Colloquium

Sam Kim, Department of Pure Mathematics, University of Waterloo

"Minkowski's Theorem"

A lattice is a discrete subgroup of $\mathbb{R}^n$. Minkowski's lattice point theorem states that given a lattice of rank n and a convex set $S$ in $\mathbb{R}^n$ which is large enough, the convex set must contain a point in the lattice. In this talk we will prove Minkowski's theorem and apply this result to prove some nice results in number theory.  

MC 5501