Drinfeld Associators, Drinfeld 2-associators, Stasheff polytopes and braided surfaces

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