Operads, Calculus, and Homotopy theory methods in Topology
Brauer diagrams, modular operads, and a nerve theorem for circuit algebras (talk, 7 July)
Date
July 5 – 7, 2022
Time
12:00 AM
Location
Lille, France/ Online
Event
Brauer diagrams, modular operads, and a nerve theorem for circuit algebras. Talk, 7 July
Talk abstract
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. Time permitting, I will also sketch how this relates to the talks by Randal-Williams and Robertson.