## Examination of the Connection Between the Horn Problem and the Lax Conjecture

2020
Diploma thesis
Published
##### Abstract
In this Master's thesis, we introduce the additive and multiplicative Horn's Problem and verify the equivalence of both formulations as given by Klyachko. Furthermore, we present a solution to the Horn's Problem following Knutson and Tao and establish the famous Lax conjecture. We provide a solution to the latter as it is given by Grinshpan et al. in the Helton-Vinnikov Theorem. Lastly, we elaborate on the connection between the multiplicative Horn's Problem and Vinnikov curves following Speyer and draw our own conclusions about the connection between the Horn's problem and the Lax conjecture.
510 Mathematics
##### Keywords
Horn's Problem, Lax Conjecture, Vinnikov Curves
##### Cite This
ISO 690HESS, Sarah, 2020. Examination of the Connection Between the Horn Problem and the Lax Conjecture [Master thesis]. Konstanz: Universität Konstanz
BibTex
@mastersthesis{Hess2020Exami-60021,
year={2020},
title={Examination of the Connection Between the Horn Problem and the Lax Conjecture},
school={Universität Konstanz},
author={Hess, Sarah}
}

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##### University note
Konstanz, Universität Konstanz, Master thesis, 2020
Yes