Event Details


Author: Álvaro Ramos
Title: Area Minimizing Surfaces in \(E(-1,\tau)\)
Summary: Recall that \(E(-1,\tau)\) is a homogeneous space with four-dimensional isometry group which is given by the total space of a fibration over \(\mathbb{H}^2\) with bundle curvature \(\tau\). Given a finite collection of simple closed curves \(\Gamma\) in its asymptotic boundary, we provide sufficient conditions on $\Gamma$ so that there exists an area minimizing surface \(\Sigma\) in \(E(-1,\tau)\) with asymptotic boundary \(\Gamma\). We also present necessary conditions for such a surface \(\Sigma\) to exist. This is joint work with P. Klaser and A. Menezes.
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