题目：Progress on Some Conjectures and Problems of Cluster Algebras
报告人：李方 教授 （浙江大学）
摘要：The theory of cluster algebras was set up by Fomin and Zelevinsky in a series of articles in 2001 and the next few years. In these references, they proposed some problems and conjectures on cluster algebras. In this talk, we will mention the progress of the positivity conjectures of cluster variables and d-vectors, the conjectures on sign-coherence of c-vectors and g-vectors, the problems of F-polynomials and g-vectors, the uniqueness of seed under mutation equivalence and the totality of sign-skew-symmetric matrices, the unistructurality of cluster algebras, etc.
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