August 28, 2022 to September 2, 2022
Europe/Zurich timezone

A topological characterisation on the Kashiwara-Vergne groups

Aug 29, 2022, 11:00 AM
50m

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.

Presentation materials

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