Drinfeld Associators, Drinfeld 2-associators, Stasheff polytopes and braided surfaces
- Date: Tuesday 21 March 2017, 15:15 – 16:15
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Algebra, Seminars, Pure Mathematics
- Cost: Free
Joao Faria Martins, University of Leeds. Part of the algebra seminar series.
I will report on a long term project by Lucio Cirio, Florian Schaetz and myself on categorifying the Drinfeld-Kohno Lie algebra of chords diagrams via a differential crossed module of chord diagrams categorifying the 4-term relations. I will discuss application to 2-dimensional category theory (Drinfeld 2-associators) and 4-dimensional topology (namely invariants of braided surfaces in 4-space).
References: Cirio L.S, Faria Martins J.: Infinitesimal 2-braidings and differential crossed modules, Advances in Mathematics, Volume 277, 4 June 2015, Pages 426-491.
After each talk at 4:15pm there will be tea/coffee in the Common Room at level 9 in Maths building. The current seminar organiser is Eleonore Faber.
Joao Faria Martins, University of Leeds