Speaker
Zsuzsi Dancso
(Sydney)
Description
This talk is based on joint work with Iva Halacheva and Marcy Robertson (https://arxiv.org/pdf/2106.02373.pdf) and ongoing joint work with Tamara Hogan and Marcy Robertson. I will present a topological characterisation of the Kashiwara-Vergne groups KV and KRV as automorphism groups of wheeled PROPs (aka circuit algebras) of certain four-dimensional tangles, and their associated graded space of "arrow diagrams". I'll also explain how the Alekseev-Torossian map GRT -> KRV arises in this context as a map from classical chord diagrams to arrow diagrams.