Growth in Tensor Powers

Explore the intricacies of tensor power decomposition in group representations during this 53-minute conference talk by Victor Ostrik at BIMSA. Delve into joint research with K. Coulembier, P. Etingof, and D. Tubbenhauer, examining the asymptotic behavior of indecomposable summands in tensor powers V^⊗n of finite-dimensional group representations. Investigate methods for counting these summands, with a focus on non-negligible components in algebraically closed fields. Discover how recent advancements in symmetric tensor category theory contribute to answering fundamental questions about the growth and structure of tensor powers in group representation theory.