摘要: These are expanded notes from three survey lectures given at the 14th International Conference on Representations of Algebras (ICRA XIV) held in Tokyo August 2010. We first study identities between products quantum dilogarithm series associated with Dynkin quivers following Reineke. then examine similar for potential and link them to Fomin-Zelevinsky's theory cluster algebras. Here we mainly follow ideas due Bridgeland, Fock-Goncharov, Kontsevich-Soibelman Nagao.
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