| Abstract |
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Horocycle flow on the unit tangent bundle of a hyperbolic surface has
non-trivial time changes, in fact obstructions to trivialization of a time
change are precisely described in the work of Flaminio and Forni. In this
talk I will discuss the work of Mieszkowski: trivialization of time changes
for a 2-dimensional unipotent algebraic action on the manifold obtained
from the product of SL(n, R)s factored by an irreducible
lattice. I will then explain how this is used towards understanding
perturbations of the action. This is joint work with A. Katok.
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