Mercoledì 25 Febbraio 2026 alle ore 16:45, nel quadro del ciclo di seminari Insalate di Matematica, Gaia Bombardieri (Università degli Studi di Padova) terrà il seguente intervento
Titolo: Mean Curvature Flow: from Euclidean space to the Heisenberg group
Abstract: How do shapes evolve when driven by their mean curvature? In Euclidean space, Huisken’s classical theorem ensures that convex surfaces become spherical sub-Riemannian context, analyzing the flow for mean convex hypersurfaces. We will discuss the problem of self-similarity in this setting and present a recent result: the Pansu sphere, despite being the candidate isoperimetricrole of self-shrinkers as models for singularities. Then, we will move to the sub-Riemannian context, analyzing the flow for mean convex hypersurfaces. We will discuss the problem of self-similarity in this setting and present a recent result: the Pansu sphere, despite being the candidate isoperimetric profile of H^1, is not a self-shrinker. This reveals a striking divergence from the Euclidean intuition, where the static isoperimetric solution and the dynamic evolution profile coincide.
Keywords: Mean Curvature Flow, Heisenberg Group, Mean Convexity
Informazioni per partecipare
Il seminario si terrà in Aula U9-11 (Edificio U9 | Viale dell’Innovazione 10, Milano) e sarà possibile partecipare anche online da questo link (password: insalate, 46725283 da telefono).
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