Recorded 12 March 2025. Kasia Pernal of Politechnika Lodzka presents "Reduced density matrix functional theory, Part 1 of 2" at IPAM's Non-commutative Optimal Transport Tutorials. Abstract: In the first part of the lecture, I will give an introduction to reduced density matrix functional theory, presenting key definitions, concepts, and theorems. The second part will be devoted to approximate density matrix functionals. I will discuss various strategies and their limitations. Learn more online at: https://www.ipam.ucla.edu/programs/long-programs/non-commutative-optimal-transport/non-commutative-optimal-transport-tutorials/?tab=schedule