Recorded 28 April 2025. Dimitri Shlyakhtenko of the University of California, Los Angeles, presents "Transport in free probability theory" at IPAM's Dynamics of Density Operators Workshop. Abstract: We discuss some applications of transport in free probability theory, as well as an associated notion of dimension that is related to free entropy dimension and L^2 invariants. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-dynamics-of-density-operators/