A topological characterization of the Kashiwara-Vergne groups

Resumen:

Solutions to the Kashiwara--Vergne equations in noncommutative geometry are a "higher dimensional" version of Drinfeld associators. In this talk we build on work of Bar-Natan and Dancso and identify solutions of the Kashiwara--Vergne equations with isomorphisms of (completed) wheeled props of "welded tangled foams" -- a class of knotted surfaces in $\mathbb{R}^4$. As a consequence, we identify the symmetry groups of the Kashiwara-Vergne equations with automorphisms of our (completed) wheeled props. 

This talk will be aimed at a general audience and I will not assume familiarity with the Kashiwara-Vergne equations, Drinfeld associators or wheeled props. Includes joint work with Zs. Dancso and I. Halacheva.

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https://vc-cudi.zoom.us/j/85064323764

ID de reunión: 850 6432 3764

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