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Some structural questions about cluster algebras

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CAR - Cluster algebras and representation theory

I think about cluster algebras from a combinatorial anddiscrete-geometric point of view.  In particular, despite the acronym”CAR” attached to this seminar, I don’t do representation theory.  Inthis talk, I want to discuss some questions that can be posed withoutany machinery beyond the basic definitions of mutation and clusteralgebras.  The questions are loosely organized around the notion of”changing the exchange matrix”.  I will present some results on whatis known, but mostly I want to stimulate thought about the questionsusing representation theory, or more generally, using tools other thanthe ones I know.

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

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