Date/heure
12 février 2025
10:45 - 12:00
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Maximilian Simon (University of Konstanz, Germany)
Catégorie d'évènement
Séminaire des doctorants
Résumé
In this talk, we begin by examining the application of curvature flows to a broad range of geometric problems. Following this, we introduce the essential geometric concepts required to understand these flows. Thereafter we focus on the mean curvature flow and its singularities. In particular, we give an intuitive and accessible proof of why singularities must occur if the initial surface is compact. After conducting a graphical analysis of various types of singularities, we describe how these singularities can be modeled by self-similar solutions of the mean curvature flow. Motivated by this, we conclude the presentation by exploring a current area of research: investigating the behavior of solutions that are in the proximity of such self-similar solutions.