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SUMMARY:Isometric Embeddings of the Hyperbolic Plane into Minkowski Space
DTSTART;VALUE=DATE-TIME:20190415T123000Z
DTEND;VALUE=DATE-TIME:20190415T134500Z
DTSTAMP;VALUE=DATE-TIME:20190617T032107Z
UID:indico-event-4455@indico.math.cnrs.fr
DESCRIPTION:Minkowski space of dimension 2+1 is the Lorentzian analogue of
Euclidean 3-space. It is well-known that there exists an isometric embedd
ing of the hyperbolic plane in Minkowski space\, which is the analogue of
the embedding of the round sphere in Euclidean space. However\, differentl
y from the Euclidean case\, the embedding of the hyperbolic plane is not u
nique up to global isometries. In this talk I will discuss several results
on the classification of these embeddings\, and explain how this problem
is related to Monge-Ampère equations\, harmonic maps\, and Teichmüller t
heory. This is joint work with Francesco Bonsante and Peter Smillie.\n\nht
tps://indico.math.cnrs.fr/event/4455/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4455/
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