Recorded 27 February 2025. Hui Tan of the University of California, Los Angeles, presents "Some applications of Shlyakhtenko’s M-valued semicircular systems" at IPAM's Free Entropy Theory and Random Matrices Workshop. Abstract: I will talk about several applications of Shlyakhtenko’s M-valued semicircular systems, including characterization of Property (T), Haagerup’s property for II1 factors in terms of inclusions, and on weak containment of bimodules. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/free-entropy-theory-and-random-matrices/