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SUMMARY:Quasi-circles and Maximal Surfaces in the Pseudo-hyperbolic Space
DTSTART;VALUE=DATE-TIME:20191007T143000Z
DTEND;VALUE=DATE-TIME:20191007T154500Z
DTSTAMP;VALUE=DATE-TIME:20200926T121814Z
UID:indico-event-5056@indico.math.cnrs.fr
DESCRIPTION:\n Quasi-circles in the complex plane are fundamental objects
in complex analysis\; they were used by Bers to define an infinite-dimensi
onal analogue of the usual Teichmüller space. After introducing the notio
n of quasi-circles in the boundary of the pseudo-hyperbolic space $H^{2\,n
}$\, I will explain how to construct a unique complete maximal surface in
$H^{2\,n}$ bounded by a given quasi-circle. This construction relies on Gr
omov's theory of pseudo-holomorphic curves and provides a generalization o
f maximal representations of surface groups into rank 2 Lie groups. This j
oint work with François Labourie and Mike Wolf.\n\n\nhttps://indico.math.
cnrs.fr/event/5056/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/5056/
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