Several different areas of group theory, topology, and geometry
have led to the study of the action of Aut(Fn)—the automorphism
group of the free group on n generators—on Hom(Fn,G) when G is
either finite, compact or a simple Lie group. We will...
Motivated by counting problems for closed geodesics on
hyperbolic surfaces, I will present a family of new results
describing the dynamics of mapping class groups on Teichmüller
spaces and spaces of closed curves of closed surfaces.
In this talk, we discuss the Diophantine study of relative
SL2-character varieties of surfaces. In particular, we prove that
the integral points on these varieties are effectively finitely
generated in a precise sense, and in particular their...
In these two talks, I will describe how the classification of
locally homogeneous geometric structures (closely related to flat
connections) leads to interesting dynamical systems.
Many interesting dynamical systems arise from the classification
of...
In these two talks, I will describe how the classification of
locally homogeneous geometric structures (closely related to flat
connections) leads to interesting dynamical systems.
Many interesting dynamical systems arise from the
classification...
