Recorded 11 April 2022. Volker Bach of TU Braunschweig presents "The Hartree-Fock Approximation and its Generalizations" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: In the talk the Hartree-Fock (HF) approximation in quantum mechanics will be reviewed. The following particular aspect will be discussed: - Accuracy of the HF approximation, - Lieb's variational principle and its generalizations, - generalized HF approximation, - symmetries and restricted HF approximation. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-ii-model-reduction-in-quantum-mechanics/?tab=schedule