The origin and the destiny of Smale’s 7th problem

Abstract: Smale’s 7th problem asks for an efficient description of N points in the unit sphere with quasioptimal logarithmic energy (to be though of as the repulsion energy one would expect if the points were equal-charged particles). In this talk I will explain the origins of this problem, the reason why it was included in Smale’s list, the state of the art in the research and my personal viewpoint on its destiny.

mathematical physicsanalysis of PDEsclassical analysis and ODEscomplex variablesfunctional analysisspectral theory

Audience: researchers in the topic

Harmonic Analysis, Approximation Theory and related topics

Series comments: The talks run on Google Meet. To get the link, please register on the following form sites.google.com/view/athabrazil/updates?authuser=0