Recorded 24 February 2025. Ben Hayes of the University of Virginia presents "Invitation to 1-bounded entropy theory- Minicourse, Pt. 2 of 2" at IPAM's Free Entropy Theory and Random Matrices Workshop. Abstract: I will present a brief overview of 1-bounded entropy, which is a modification of Voiculescu's free entropy dimension for tuples, and is known to be an invariant of the generated von Neumann algebra. After briefly discussing the definition, I will focus on its relation to the Peterson-Thom conjecture. Particularly, how it can be used to reduce this conjecture to a problem on strong convergence in random matrices (a problem that several different sets of authors have recently claimed solutions to). Learn more online at: https://www.ipam.ucla.edu/programs/workshops/free-entropy-theory-and-random-matrices/