Recorded 12 April 2022. Mathieu Lewin of CNRS and Université Paris-Dauphine presents "Recent results in Density Functional Theory" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: I will provide an overview of results obtained recently in density functional theory, in joint works with Elliott Lieb and Robert Seiringer. I will particularly discuss the Lieb-Oxford bound and the Local Density Approximation. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-ii-model-reduction-in-quantum-mechanics/?tab=schedule