Colloque des sciences mathématiques du Québec

2 novembre 2007 de 16 h 00 à 18 h 00 (heure de Montréal/Miami) Sur place

The geometry of numbers, old and new

Colloque par Akshay Venkatesh (Institute for Advanced Study)

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.


UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 6214