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Quantum character varieties and q-Askey scheme

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Quantum character varieties and q-Askey scheme
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7
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
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The Askey–Wilson polynomials are a special case of Macdonald polynomials; their degenerations are organised into a hierarchy called q-Askey scheme. In this talk the speaker will give a new approach to study degenerations as well as dualities in the q-Askey scheme, based on the fact that all families of polynomials in the q-Askey scheme admit a certain algebra of symmetries (the Zhedanov algebra and its degenerations) and in the limit as q→1 this algebra becomes the coordinate ring of a certain subalgebra of a quantum object that we call quantum cusped character variety.