Dynamics and Moduli Spaces

Ziwet Lectures -- University of Michigan

5-7 February 2008

Curtis T. McMullen, Harvard University

Slides from Lectures:

I. Billiards and Teichmüller Theory
II. Islands on Algebraic Surfaces
III. Topology of Numbers

References:

Billiards and Hilbert modular surfaces
Dynamics of SL2R over moduli space in genus two
Dynamics on K3 surfaces: Salem numbers and Siegel disks
Coxeter groups, Salem numbers and the Hilbert metric
Dynamics on blowups of the projective plane
Minkowski's conjecture, well-rounded lattices and topological dimension