Skip to Content

Complex Analysis, Dynamics and Geometry Seminar

Random walks on the Cremona group
Monday, April 16, 2018
4:00-5:00 PM
3096 East Hall Map
The Cremona group of birational transformations of P^2 is a classical object in algebraic geometry. In the last decade, incredible progress (by Cantat, Lamy and several others) has been made by combining complex dynamics and geometric group theory, using the action of the Cremona group on an infinite dimensional hyperbolic space. In new work with J. Maher, we use these techniques to study random compositions of birational maps. For instance, we prove that the dynamical degree of random Cremona transformations grows exponentially fast, and we give a characterization of the Poisson boundary for finitely generated subgroups of the Cremona group. Speaker(s): Giulio Tiozzo (Toronto)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics