CRM: Centro De Giorgi
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Recent advances in Geometric Analysis

Ancient pancakes

speaker: Theodora Bourni (University of Tennessee, Knoxville)

abstract: We construct a compact, convex ancient solution of mean curvature flow in $\R{n+1}$ with $O(1)\times O(n)$ symmetry that lies in a slab of width $\pi$. We provide detailed asymptotics for this solution and show that, up to rigid motions, it is the only compact, convex, $O(n)$-invariant ancient solution that lies in a slab of width $\pi$ and in no smaller slab. This work is joint with Mat Langford and Giuseppe Tinaglia.


timetable:
Mon 4 Jun, 16:00 - 17:00, Aula Dini
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