Invitation to Random Tensor Models - From Random Geometry to Enumeration and Characteristic Polynomials

Explore random tensor models through their foundational connections to quantum gravity and random geometry in this 51-minute mathematical lecture. Begin with the geometric motivations behind random tensor models, then delve into cutting-edge research findings including recent advances in enumerating graphs that represent tensor invariants. Discover a novel approach to characteristic polynomials for tensors using Grassmann integrals and examine the distribution patterns of roots in random tensors. Learn about groundbreaking work detailed in recent publications arXiv:2404.16404[hep-th] and arXiv:2510.04068[math-ph], presented by a researcher from the Okinawa Institute of Science and Technology Graduate University, offering insights into the intersection of mathematical physics, tensor theory, and geometric approaches to fundamental physics.