Publikation: Examination of the Connection Between the Horn Problem and the Lax Conjecture
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2020
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Titel in einer weiteren Sprache
Publikationstyp
Masterarbeit/Diplomarbeit
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Published
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Zusammenfassung
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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Horn's Problem, Lax Conjecture, Vinnikov Curves
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ISO 690
HESS, Sarah, 2020. Examination of the Connection Between the Horn Problem and the Lax Conjecture [Master thesis]. Konstanz: Universität KonstanzBibTex
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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Prüfungsdatum der Dissertation
Hochschulschriftenvermerk
Konstanz, Universität Konstanz, Masterarbeit/Diplomarbeit, 2020
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Corresponding Authors der Uni Konstanz vorhanden
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Universitätsbibliographie
Ja
