![Geometric Methods in Optimization and Sampling_hi-res logo](/sites/default/files/styles/workshop_banner_sm_1x/public/2023-03/Geometric%20Methods%20in%20Optimization%20and%20Sampling_hi-res.jpg?h=b86da943&itok=A6FwVTMn)
Description
Density Functional Theory (DFT) is the standard approach to quantum chemistry in simulations with more than a dozen electrons. The central object in this theory, the Hohenberg-Kohn (Levy-Lieb) functional, is in fact a regularized multi-marginal optimal transport problem in disguise.
In this talk, I will present an overview of the connection between Optimal Transport with Coulomb cost and DFT as well as discuss a conjecture posed by Seidl, Gori-Giorgi and Savin on the existence of Monge-type minizers for Optimal Transport problem with Coulomb costs, and the existence of fractal-like minimizers for a wide class of repulsive costs functions.
All scheduled dates:
Upcoming
No Upcoming activities yet