For more information about this meeting, contact Mary Anne Raymond.
|Title:||Smooth rigidity of higher rank abelian actions.|
|Seminar:||Job Candidate Talk|
|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.
In this talk I will concentrate on the problem of smooth classification.
It is conjectured that irreducible smooth hyperbolic actions of Z^k and
R^k, k>1, on compact manifolds are smoothly conjugate to algebraic
actions. I will give an overview of this area and discuss recent progress.|
Room Reservation Information
|Date:||01 / 13 / 2012|
|Time:||12:15pm - 01:15pm|