Intrinsic Hyperplane Arrangements in Complex Representations of Symmetric Groups

Watch a 46-minute mathematics lecture from IHES where Natalia Tsilevich from the University of Haifa presents her joint work with A. Vershik and S. Yuzvinsky on constructing intrinsic hyperplane arrangements for irreducible complex representations of symmetric groups. Learn how these arrangements serve as direct generalizations of the classical braid arrangement, featuring natural descriptions through invariant subspaces of Young subgroups and exhibiting notable mathematical properties. Discover advanced concepts in representation theory and geometric combinatorics through this academic presentation available on CARMIN.tv, a specialized French platform for mathematical research content.