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Entropy of pseudo-Anosovs which fix homology

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

April 15, 2015 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Ian Agol (University of California, Berkeley)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • entropy

  • Teichmuller theory

  • geodesics on Teichmuller space

  • entropy minimization

  • Linch's inequality

  • triangulation of three manifold

  • Ellenberg's conjecture

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

Abstract

We show that the entropy of a pseudo-Anosov which fixes a k-dimensional subspace of homology of a genus g surface is comparable to (k+1)/g. This answers a question of Ellenberg. Key use is made of a recent inequality of Kojima-McShane giving an upper bound on volume in terms of dilatation

Supplements
23394?type=thumb Agol.Notes 511 KB application/pdf Download
Video/Audio Files

14222

H.264 Video 14222.mp4 356 MB video/mp4 rtsp://videos.msri.org/data/000/023/288/original/14222.mp4 Download
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