# Next Week's Events

## Seminars

Click on seminar heading to go to seminar page.

• ### Algebra Seminar

Monday October 21, 2019 at 13:30, Wachman 617
An approach toward supersymmetric cluster algebras

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.

• ### Geometry and Topology Seminar

Thursday October 24, 2019 at 16:30,
Effie Kalfagianni

Effie Kalfagianni, Michigan State University PATCH Seminar, at UPenn

• ### Geometry and Topology Seminar

Thursday October 24, 2019 at 17:45,