Hassett, Brendan E.2011-07-252011-07-252010Bruun, Christian. "Young tableaux with applications to representation theory and flag manifolds." (2010) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/62009">https://hdl.handle.net/1911/62009</a>.https://hdl.handle.net/1911/62009We 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.application/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.Applied mathematicsMathematicsThesisTHESIS MATH. 2010 BRUUN