Intrinsic Hyperplane Arrangements

19 nov. 2024, 11:30
45m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

Mme 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).

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