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The (asymptotic) location of eigenvalues of a representation in the Hitchin component

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

April 13, 2015 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie))
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Riemann surfaces

  • mapping class groups

  • co-compact group action

  • discrete group of isometries

  • Hausdorff dimension

  • entropy

  • quasi-Fuchsian group

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

14214
Abstract

The Hitchin component is a (special) connected component of the space of homomorphisms of a surface group into $\textrm{PSL}(d,\mathbb{R}).$  This component is a higher rank analogue of the Teichmuller space of the surface.  The purpose of the talk is to show that the critical exponent of a Hitchin representation has a rigid upper bound. This is a joint work with Rafael Potrie.
Supplements
23387?type=thumb Sambarino.Notes 490 KB application/pdf Download
Video/Audio Files

14214

H.264 Video 14214.mp4 342 MB video/mp4 rtsp://videos.msri.org/data/000/023/271/original/14214.mp4 Download
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