How many ways can one characterize a ball?

Abstract: There are many ways one can characterize the Euclidean ball – using geometry, differential equations, functional analysis and so on. In this talk, I will introduce at least three characterizations of the Euclidean ball. I will review the classical overdetermined problem studied by Serrin and its connection with the Alexandrov soap bubble theorem. In particular, I will introduce Alexandrov's famous moving plane method and how it's used to characterize balls as critical points of Riesz-type energies.

mathematical physicsanalysis of PDEsclassical analysis and ODEscategory theorycomplex variablesfunctional analysislogicmetric geometryoptimization and control

Audience: researchers in the topic

VCU ALPS (Analysis, Logic, and Physics Seminar)

Series comments: Description: Research seminar on topics ranging from analysis and logic to mathematical physics.

Meetings will be conducted over Zoom:

Meeting ID: 951 0562 0974

The password is 10 characters, consisting of the name of the ancient Greek mathematician who wrote "Elements" (first letter capitalized) followed by the first 4 primes.