Eight or Nine Talks on Contemporary Optimal Transport Problems

9th talk : Seidl conjecture in Density Functional Theory: results and counterexamples

5 juil. 2019, 14:10

50m

Salle de conférence (IRMA in Strasbourg)

Orateur

Simone Di Marino (Indam)

Description

The Seidl conjecture in Density Functional Theory is the equivalent of the Monge Ansatz for the classical optimal transport problem with the cost $c(x,y)=|x-y|$, in the multimarginal case with the Coulomb cost. We provide positive results in the one dimensional case as well as both positive and negative results in the radial 2-dimensional case.