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

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2020
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urn:nbn:de:bsz:352-2-160cfrqubrq6n2
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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.
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510 Mathematics
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Horn's Problem, Lax Conjecture, Vinnikov Curves
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ISO 690HESS, Sarah, 2020. Examination of the Connection Between the Horn Problem and the Lax Conjecture [Master thesis]. Konstanz: Universität Konstanz
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@mastersthesis{Hess2020Exami-60021,
  year={2020},
  title={Examination of the Connection Between the Horn Problem and the Lax Conjecture},
  address={Konstanz},
  school={Universität Konstanz},
  author={Hess, Sarah}
}
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Konstanz, Universität Konstanz, Master thesis, 2020
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