- Series
- CDSNS Colloquium
- Time
- Wednesday, March 14, 2012 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Boris Kalinin – Univ. of Southern Alabama
- Organizer
- Rafael de la Llave
Hyperbolic actions of Z^k and R^k arise naturally in algebraic
and geometric context. Algebraic examples include actions by
commuting automorphisms of tori or nilmanifolds and, more generally,
affine and homogeneous actions on cosets of Lie groups. In contrast
to hyperbolic actions of Z and R, i.e. Anosov diffeomorphisms and
flows, higher rank actions exhibit remarkable rigidity properties,
such as scarcity of invariant measures and smooth conjugacy to
a small perturbation. I will give an overview of results in this area
and discuss recent progress.