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The action of a pseudo-Anosov on the Hitchin component

Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015

April 14, 2015 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Francis Bonahon (University of Southern California)
Location: MSRI: Simons Auditorium
  • surface group

  • mapping class groups

  • Riemann surfaces

  • projective representations

  • character variety

  • positivity

  • flag map

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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. 


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