Deprecated: str_replace(): Passing null to parameter #2 ($replace) of type array|string is deprecated in /dati/data/hosting/aw210502/htdocs/plugins/system/helix3/helix3.php on line 254 On the notion of dynamical (in)stability for minimal surfaces

On the notion of dynamical (in)stability for minimal surfaces

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Tuesday, 21 May 2024 14:30 - 15:30

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).

 

Speaker
Salvatore Stuvard
Affiliation
Università di Milano
Room
Aula Buzano
Proposed by
Alessandro Audrito

Powered by iCagenda