Growth in Tensor Powers - Representation Theory
Explore a 50-minute lecture on "Growth in tensor powers" presented by Victor Ostrik from the University of Oregon's Mathematics department at IPAM's Symmetric Tensor Categories and Representation Theory Workshop. Delve into joint research with K. Coulembier, P. Etingof, and D. Tubbenhauer, examining finite dimensional representations of groups and their tensor powers. Discover the mathematical limits and properties of indecomposable summands in tensor powers, including the intriguing invariant φ(V). Gain insights into the additivity, multiplicativity, and algebraic integer values of this invariant through the lens of tensor category theory. Recorded on January 8, 2024, this talk offers a deep dive into advanced mathematical concepts at the intersection of group theory, representation theory, and tensor categories.