Dear Colleagues,

You are most cordially invited to the first E-seminar of this semester, organized by the Department of Mathematics.

Title: Minimal surfaces and smooth autonomous dynamical systems in 2D

Speaker: Tuna Bayrakdar (Yeditepe University)

Abstract: In this talk, an autonomous dynamical system on a
two-dimensional manifold $M$ will be identified with an exterior
differential system $\left(\Sigma,\mathcal{I}\right)$, where $\Sigma$ is a
three-dimensional Riemannian manifold in $\mathbb{R}\times TM\simeq J^1(\mathbb{R},M)$ and $\mathcal{I}$ is the Pfaffian system generated by
the contact forms on $\Sigma$. We will show that it is possible to
construct a minimal but not necessarily totally geodesic surface in
$\Sigma$ characterized by the corresponding dynamical system. As a
particular case, a nontrivial minimal surface in the Heisenberg group will
be discussed.

Date: Friday, April 17, 2020

Time: 13:00