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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 (Université Côte d'Azur)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

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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