# Simon Eberle: On Newton's no gravity in the cavity theorem and global solutions of the obstacle problem

**Time: **
Thu 2023-03-23 10.15 - 11.15

**Location: **
3418, Lindstedtsvägen 25

**Language: **
English

**Participating: **
Simon Eberle, Basque Center for Applied Mathematics

We will investigate an old problem posed by Isaac Newton on shapes that do not admit gravity in the cavity. We will see that it can be equivalently formulated as a question on the rigidity of global solutions of the obstacle problem, a question that recently has been answered in full generality. This is joint work with A. Figalli, H. Shahgholian and G. S. Weiss.