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Degeneration of real projective structures on open surfaces

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

April 16, 2015 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Daniele Alessandrini (Ruprecht-Karls-Universität Heidelberg)
Location: MSRI: Simons Auditorium
  • compactifications

  • character variety

  • folations - leaves

  • Morgan-Shalen compactification

  • finitely generated groups

  • SL(n-R)

  • real algebraic geometry

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



This talk will be about the theory of compactification of the character variety.
Methods coming from algebraic geometry and tropical geometry can be
used to construct and to study some of these compactifications. With
these methods it is often possible to get some results by direct
computations. We will mostly discuss the special case of deformation
spaces of convex real projective structures on open surfaces, a subset
of the character variety of the free group in SL(3,R).
This is joint work with S. Choi.

23396?type=thumb Alessandrini.Notes 549 KB application/pdf Download
Video/Audio Files


H.264 Video 14223.mp4 351 MB video/mp4 rtsp://videos.msri.org/data/000/023/293/original/14223.mp4 Download
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