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 Browse Dissertations and Theses  Mathematics by Contributor
Browse Dissertations and Theses  Mathematics by Contributor "Bergvelt, Maarten"
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(20170413)This dissertation presents connections between cluster algebras and discrete integrable systems, especially Tsystems and their specializations/generalizations. We give connections between the Tsystem or the octahedron ...
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(20170503)Nakajima introduced a tdeformation of qcharacters, (q,t)characters for short, and their twisted multiplication through the geometry of quiver varieties. The Nakajima (q, t)characters of KirillovReshetikhin modules ...
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(20170710)We study taufunctions given as matrix elements for the action of loop groups, $\widehat{GL_n}$ on $n$component fermionic Fock space. In the simplest case, $n=2$, the taufunctions are equal to Hankel determinants and ...
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(20170705)Suppose $f(x,y)$ is a binary form of degree $d$ with coefficients in a field $K \subseteq \cc$. The {\it $K$rank of $f$} is the smallest number of $d$th powers of linear forms over $K$ of which $f$ is a $K$linear ...
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(20180418)This thesis is motivated by the Woperators introduced by Mironov et al. We prove that the Woperators are generalizations of the cutandjoin operator studied by Goulden and Jackson. We give a new description of the ...
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Now showing items 15 of 5