Young tableaux with applications to representation theory and flag manifolds

[摘要] We outline the use of Young tableaux to describe geometric and algebraic objects using combinatorial methods. In particular, we discuss applications to representations of the symmetric group and the general linear group, flag varieties, and Schubert varieties. We also describe some recent work, including proofs of the Saturation Conjecture and a theorem on the eigenvalues of sums of Hermitian matrices.

[发布机构] Rice University

[效力级别] mathematics