Videos

Alistair Savage - The spin Brauer category - IPAM at UCLA

Presenter
January 12, 2024
Abstract
Recorded 12 January 2024. Alistair Savage of the University of Ottawa Mathematics & Statistics presents "The spin Brauer category" at IPAM's Symmetric Tensor Categories and Representation Theory Workshop. Abstract: The Brauer category is a diagrammatic monoidal category describing the representation theory of the orthogonal and symplectic groups. Its endomorphism algebras are Brauer algebras, which replace the group algebra of the symmetric group in the orthogonal and symplectic analogues of Schur-Weyl duality. However, the Brauer category is missing one important piece of the picture—the spin representation. We will introduce a larger category, the spin Brauer category, that remedies this deficiency. This is joint work with Peter McNamara. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/symmetric-tensor-categories-and-representation-theory/?tab=overview