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Ashish K. Srivastava, Saint Louis University
In this talk we will propose the notion of cluster superalgebra which is a supersymmetric version of the classical cluster algebra introduced by Fomin and Zelevinsky. We show that the symplectic-orthogonal supergroup $SpO(2|1)$ admits a cluster superalgebra structure and as a consequence of this, we deduce that the supercommutative superalgebra generated by all the entries of a superfrieze is a cluster superalgebra. We also show that the coordinate superalgebra of the super Grassmannian $G(2|0; 4|1)$ of chiral conformal superspace (that is, $(2|0)$ planes inside the superspace $\mathbb C^{4|1}$) is a quotient of a cluster superalgebra.
Effie Kalfagianni, Michigan State University PATCH Seminar, at UPenn
Mohammad Ghomi, Georgia Tech
PATCH Seminar, at UPenn
There are no conferences next week.