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Browse Dissertations and Theses  Mathematics by Contributor "Di Francesco, Philippe"
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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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(20160706)A central result in algebraic combinatorics is the LittlewoodRichardson rule that governs products in the cohomology of Grassmannians. A major theme of the modern Schubert calculus is to extend this rule and its associated ...
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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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(20180703)A. Lascoux and M.P. Schutzenberger introduced Schubert polynomials to study the cohomology ring of the complete flag variety Fl(C^n). Each Schubert polynomial corresponds to the class defined by a Schubert variety X_w ...
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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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(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 16 of 6