Degeneration of real projective structures on open surfaces
Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015
Location: SLMath: Eisenbud Auditorium
compactifications
character variety
folations - leaves
Morgan-Shalen compactification
finitely generated groups
SL(n-R)
real algebraic geometry
14Q05 - Computational aspects of algebraic curves [See also 14Hxx]
14Q15 - Computational aspects of higher-dimensional varieties [See also 14Jxx, 14Mxx]
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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.
Alessandrini.Notes
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14223
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