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Francesca Oronzio: Quantitative Alexandrov theorem and its applications in the volume preserving mean curvature flow

Tid: To 2025-02-13 kl 10.00 - 11.00

Plats: 3418, Lindstedtsvägen 25

Språk: english

Medverkande: Francesca Oronzio, KTH

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A classical theorem in differential geometry, Alexandrov Theorem, states that if \(\Sigma\) is a closed connected embedded smooth surface in \(\mathbb{R}^n,\text{ }n\geq3\) with constant mean curvature, then it is a round sphere. In this talk, a new quantitative version of it will be given in \(\mathbb{R}^3\). Using it we obtain a result on the asymptotic behaviour of weak solutions for the volume preserving mean curvature flow. Here, by weak solution we mean a flat flow, obtained via the minimizing movement scheme. The results discussed are obtained by a collaboration with V. Julin, M. Morini and E. Spadaro.