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This lecture presents Félix Parraud of Queen's University discussing "The spectrum of tensor of random and deterministic matrices" at IPAM's Free Entropy Theory and Random Matrices Workshop at UCLA. Explore operator-valued polynomials in Gaussian Unitary Ensemble random matrices through a new strategy for bounding Lp-norm by the operator norm of polynomials evaluated in free semicircular variables when p=o(N2/3). Discover how this approach provides another proof of the Peterson-Thom conjecture through Ben Hayes' result. The presentation delves into asymptotic expansion combined with new findings on the norm of composition between multiplication operators and permutation operators acting on tensor C*-algebras. Recorded February 28, 2025, this 48-minute mathematical lecture offers advanced insights into random matrix theory and its applications.
