The Schubert Calculus and Eigenvalue Inequalities for Sums of Hermitian Matrices

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au

Last updated: 14 October 2014

Table of Contents

0:$$Introduction

1:$$Notation, Conventions

2:$$Horn's Conjecture and the Hersch-Zwahlen methods

3:$$Algebraic Geometry, Intersection Theory, and the Schubert Calculus

4:$$The Symmetric Algebra and Schur Functions

5:$$Proof of the main result

Bibliography

Notes and References

This is an excerpt from Steven Andrew Johnson's 1979 dissertation The Schubert Calculus and Eigenvalue Inequalities for Sums of Hermitian Matrices.

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