Maximal surfaces in pseudo-hyperbolic spaces of rank 2
Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019
Location: SLMath: Eisenbud 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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