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Maximal surfaces in pseudo-hyperbolic spaces of rank 2

Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019

November 21, 2019 (04:00 PM PST - 05:00 PM PST)
Speaker(s): François Labourie (Universite de Nice Sophia Antipolis)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

In this joint work with Jérémy Toulisse and Mike Wolf, we prove the existence (and discuss the uniqueness)  of maximal surfaces in the pseudo-hyperbolic space $H_{2,n}$ 

of signature (2,n) with a prescribed quasi-symmetric boundary at infinity. 

No knowledge of Lorentzian geometry will be assumed. We will mainly discuss the notion of quasi-symmetric curves in the boundary at infinity of $H_{2,n}$, boundary known as the EInstein universe

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