Statistics of Tilting Modules in Large Tensor Product of Uq(sl2)-Modules - Part 2

Explore a 48-minute mathematics lecture from the BIMSA-Tsinghua Quantum Symmetry Seminar where Professor Nicolai Reshetikhin delves into the statistics of tilting modules in large tensor products of Uq(sl2)-modules. Serving as the second part of a two-part series, discover solutions to finding asymptotic multiplicities of irreducible subrepresentations in N-th tensor powers of finite-dimensional irreducible representations of simple Lie algebras. Learn about the asymptotic behavior of Plancherel and character measures on irreducible components as N approaches infinity. Gain insights from a renowned mathematician affiliated with YMSC, BIMSA, and UC Berkeley, drawing from ongoing research collaborations with O. Postnova and V. Serganova.