## 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:$\phantom{\rule{2em}{0ex}}$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 |

## 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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