Description:A cluster algebra is a kind of commutative algebra with a distinguished set of generators organized into overlapping finite subsets called clusters. Though the definition of a cluster algebra seems strange at first encounter, these algebras appear naturally in many areas of mathematics. In the two decades since they were first discovered, cluster algebras have been used to study top...
Abstract：In this talk, I will talk about the joint work with Wen Chang, Bing Duan, and Chris Fraser on quantum affine algebras of type A and Grassmannian cluster algebras.Let g=sl_k and U_q(^g) the corresponding quantum affine algebra. Hernandez and Leclerc proved that there is an isomorphism Phi from the Grothendieck ring R_l^g of a certain subcategory C_l^g of finite dimensional U_q(^g)-modu...
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