The action of a pseudo-Anosov on the Hitchin component
Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015
Location: SLMath: Eisenbud Auditorium
surface group
mapping class groups
Riemann surfaces
projective representations
character variety
positivity
flag map
51E20 - Combinatorial structures in finite projective spaces [See also 05Bxx]
35Q70 - PDEs in connection with mechanics of particles and systems of particles
35Q60 - PDEs in connection with optics and electromagnetic theory
14217
The action of a pseudo-Anosov on the Hitchin component
Abstract: The Hitchin component is a preferred component of the space of homomorphisms from a surface group to PSL_n(R). I will describe a parametrization of this component that is well-adapted to a general geodesic lamination on the surface. This can be used to provide a very explicit description of the action on the Hitchin component of a pseudo-Anosov homeomorphism of the surface. This is joint work with Guillaume Dreyer.
14217
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