Wednesday 25 February 2026 at 4:45 pm, as part of the Insalate di Matematica seminar cycle, Gaia Bombardieri (University of Padova) will give the following talk
Title: 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
Information to attend
The seminar will be held in Room U9-11 (U9 Building | Viale dell’Innovazione 10, Milano) and will also be available online by this link (password: insalate, 46725283 from phones).
For more information, visit the website