Welded Tangles and the Kashiwara-Vergne Groups
2021 06 23
Zsuzsanna Dancso (The University of Sydney)
Moscow-Beijing Topology Seminar
In this talk I will explain a general method of "translating" between a topological problem - the search for homomorphic expansions, also known as universal finite type invariants - and the algebraic problem of solving equations of graded spaces. I'll introduce and review the applications of this method from the 90's to today: Drinfel'd associators and parenthesised braids, Grothendieck-Teichmuller groups, welded tangles and the Alekseev-Enriquez-Torossian formulation of the Kashiwara-Vergne equations, and most recently, a topological description of the Kashiwara-Vergne groups. The "recent" portion of the talk is based on joint work with Iva Halacheva and Marcy Robertson (arXiv: 2106.02373), and joint work with Dror Bar-Natan (arXiv: 1405.1955).
Meeting ID: 831 5020 0580
Zoom link: https://zoom.com.cn/j/83150200580?pwd=Z3VaRzhreko1TUhnWnJXQ05mRHNrQT09