Tuesday, October 17, 14:00, 7.527

Samuel Creedon
Constructing an Affine Partition Category

Abstract:
In this talk we discuss three diagrammatic categories, some of their defining features, and their relation to one another. We begin by defining the partition category and detailing its origins in Schur-Weyl duality. We then describe the construction of the affine partition category, and present some of its core properties. Lastly, we conclude with the Heisenberg category and its connection with both the partition and affine partition categories.