Institute for Advanced Study
November 2, 2007 from 16:00 to 18:00 (Montreal/Miami time) On location
It was understood by Minkowski that one could prove interesting results in number theory by considering the geometry of lattices in R^n. (A lattice is simply a grid of points.) I will begin by explaining some examples of this technique, called "the geometry of numbers." More recently, dynamics and analysis on the space of all lattices in R^n have been studied intensively, and this is, in some ways, a modern successor to the geometry of numbers. I will discuss this picture and how it has enhanced our understanding of some classical questions.
AddressUdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, room 6214