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On integer points in the Hitchin moduli space

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 14, 2015 (10:00 AM PDT - 10:50 AM PDT)
Speaker(s): Marc Burger (ETH Zürich)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Hitchin representation

  • mapping class groups

  • Teichmuller theory

  • conjugate subgroups

  • modular group

  • SL(n-Z)

  • height function

  • Dehn function

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

14246

Abstract

Hitchin representations form a special component in the space of SL(n, R)-representations of a compact
surface group; in the talk we will discuss two notions of integrality for such representations and show some non-finiteness phenomena for n large. We will also show how finiteness can be restored by the
use of an appropriate height function. This is joint work with F.Labourie and A.Wienhard

Supplements
23526?type=thumb Burger.Notes 174 KB application/pdf Download
Video/Audio Files

14246

H.264 Video 14246.mp4 324 MB video/mp4 rtsp://videos.msri.org/data/000/023/464/original/14246.mp4 Download
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