Modular operads, Brauer diagrams, and a graphical nerve theorem for circuit algebras

Sophie Raynor – 30 June 2021

Circuit algebras are a symmetric version of Jones’s planar algebras used in the study of finite-type knot invariants. I will describe circuit algebras in terms categories of Brauer diagrams, and explain how to modify an existing nerve theorem for modular operads to obtain an analogous result for circuit algebras.

(This talk will also be given at Operads meeting 'in' Lille. Time permitting, I will sketch how this work relates to other work presented there.)