Speaker
Mrs
Natalia Tsilevich
(Bar Ilan University)
Description
For every irreducible complex representation of a symmetric group, we construct, in a canonical way, a so-called intrinsic hyperplane arrangement in the corresponding space. It is a direct generalization of the classical braid arrangement, has a natural description in terms of invariant subspaces of Young subgroups, and enjoys a number of remarkable properties. (Joint work with A.Vershik and S.Yuzvinsky).