On the notion of dynamical (in)stability for minimal surfaces
Venue: Salvatore Stuvard - Aula Buzano (DISMA Politecnico di Torino)
In this talk, I will prove that certain types of singularities of minimal surfaces are “dynamically unstable”, in the sense that they can be perturbed away with a non-trivial, area reducing mean curvature flow. I will compare this notion of dynamical stability to the classical notion of stability defined in terms of the spectrum of the Jacobi operator, and I will argue that the mean curvature flow can be used as a selection principle for “well-behaved” solutions to Plateau’s problem. This is joint work with Yoshihiro Tonegawa (Tokyo Institute of Technology).
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