## The Schubert Calculus and Eigenvalue Inequalities for Sums of Hermitian Matrices

Last updated: 14 October 2014

 0:$\phantom{\rule{2em}{0ex}}$Introduction 1:$\phantom{\rule{2em}{0ex}}$Notation, Conventions 2:$\phantom{\rule{2em}{0ex}}$Horn's Conjecture and the Hersch-Zwahlen methods 3:$\phantom{\rule{2em}{0ex}}$Algebraic Geometry, Intersection Theory, and the Schubert Calculus 4:$\phantom{\rule{2em}{0ex}}$The Symmetric Algebra and Schur Functions 5:$\phantom{\rule{2em}{0ex}}$Proof of the main result Bibliography