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SUMMARY:Geodesic Currents\, Positive Cross-Ratios and Degenerations of Max
imal Representations
DTSTART;VALUE=DATE-TIME:20180319T133000Z
DTEND;VALUE=DATE-TIME:20180319T144500Z
DTSTAMP;VALUE=DATE-TIME:20190523T164814Z
UID:indico-event-3331@indico.math.cnrs.fr
DESCRIPTION:\nDegenerations of maximal representations of a surface group
may be seen as maximal representations in Sp(2n\,F) for some non-Archimede
an real closed field F. We associate to every such maximal representation
a geodesic current whose intersection number is the length function of the
representation for the L1 norm. When the current is a measured laminati
on\, we reconstruct an equivariant isometric embedding of the dual real tr
ee in the Bruhat-Tits building of Sp(2n\,F). This involves a general c
onstruction of an intersection current associated to a non necessarily con
tinuous positive cross-ratio.\n\nThis is joint work with Marc Burger\, Ale
ssandra Iozzi\, and Beatrice Pozzetti.\n\nhttps://indico.math.cnrs.fr/even
t/3331/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/3331/
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