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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Polynomial Pick forms for affine spheres\, real pr
ojective polygons\, and surface group representati
ons in PSL(3\,R). - Wolf\, M (Rice University)
DTSTART;TZID=Europe/London:20150731T090000
DTEND;TZID=Europe/London:20150731T100000
UID:TALK60254AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/60254
DESCRIPTION:Abstract: (Joint work with David Dumas.) Discrete
surface group representations into PSL(3\, R) corr
espond geometrically to convex real projective str
uctures on surfaces\; in turn\, these may be studi
ed by considering the affine spheres (an interpret
ation of the Hitchin system of equations in this c
ase) which project to the convex hull of their uni
versal covers. As a sequence of convex projective
structures leaves all compacta in its deformation
space\, a subclass of the limits is described by p
olynomial cubic differentials on affine spheres wh
ich are conformally the complex plane. We show th
at those particular affine spheres project to poly
gons\; along the way\, a strong estimate on asympt
otics is found\, which translates to a version of
Stokes data. We begin by describing the basic obje
cts and context and conclude with a sketc\nh of so
me of the useful technique and an application. \n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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