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SUMMARY:Christian El Emam (Université du Luxembourg)
DTSTART:20210209T140000Z
DTEND:20210209T150000Z
DTSTAMP:20260423T035410Z
UID:Geometry/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geometry/19/
 ">Families of equivariant immersions in $H^3$ with holomorphic holonomy</a
 >\nby Christian El Emam (Université du Luxembourg) as part of Pangolin se
 minar\n\n\nAbstract\nGiven an equivariant immersion of a surface in the hy
 perbolic 3-space\, a typical problem consists in understanding whether a d
 eformation of the immersion (parametrized over a complex manifold) produce
 s a holomorphic deformation of its mondromy in PSL(2\,C). In this talk we 
 present a simple “trick” providing a sufficient condition for this pro
 perty\, offering for instance an alternative proof of the holomorphicity o
 f the complex landslide flow. This result is a consequence of the study of
  immersions into the space of geodesics of the hyperbolic 3-space\, seen a
 s a holomorphic Riemannian manifold\, whose key features will be discussed
  in the talk.\n\nThis is joint work with Francesco Bonsante\n
LOCATION:https://researchseminars.org/talk/Geometry/19/
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