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Presented By: Student Combinatorics Seminar - Department of Mathematics

Student Combinatorics: Cluster Geometry and Ensembles

Joao Pedro Carvalho

In their 2003 paper, Fock and Goncharov described two distinct ways of associating cluster algebras with certain spaces. One is associated with the standard cluster algebra mutation, and the other with the Y-pattern mutation. They often have a dual relationship with each other. We explore these concepts and mention how they relate to flag moduli spaces.

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