Presented by: 
Akshay Venkatesh (Stanford University)
Mon 23 Sep, 2:00 pm - 2:45 pm
Otto Hirschfeld Building 81-214

It was understood by Minkowski that one could prove interesting results in
number theory by considering the geometry of lattices in Rn. (A lattice is simply
a grid of points.) This technique is called the “geometry of numbers.” We now
understand much more about analysis and dynamics on the space of all lattices,
and this has led to a deeper understanding of classical questions. I will review
some of these ideas, with emphasis on the dynamical aspects.