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q-analogues of numbers and matrices

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CARW03 - Interdisciplinary applications of cluster algebras

In recent joint work with Valentin Ovsienko we defined q-analogues of real numbers. Our construction is based on a q-deformation of continued fractions. I will explain the construction and give the main properties. In particular I will mention links with the combinatorics of posets, cluster algebras, Jones polynomials and present further developments.

This talk is part of the Isaac Newton Institute Seminar Series series.

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