Knot at Lunch

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These are weekly over-lunch knot theory meetings held at the University of Toronto.

Future Agendas Queue

The below are possible agendas for future meetings, roughly ordered by priority. Though the general principle will remain, that the whims of the moment always trump long term planning.

  • A proof of Artin's theorem.
  • Lucy Zhang on topological quantum computation.
  • Infinitesimal Artin - derivations on free Lie algebras.
    • Derivations, tangential derivations, special derivations (see BBS/Alekseev-080116-162451.jpg).
    • Drinfel'd's theorem on special derivations (see Drinfel'd's On quasitriangular Quasi-Hopf algebras and a group closely connected with \operatorname{Gal}(\bar{{\Bbb Q}}/{\Bbb Q}), Leningrad Math. J. 2 (1991) 829-860, though I wouldn't be surprised if the theorem is actually older).
    • Can you prove that {\mathcal A}^\mbox{hor} injects into {\mathcal A}^\mbox{trees}?
    • The VS structure on several kinds of algebras of derivations. As always, can you find associators?
    • The Alekseev-Torossian "divergence" (BBS/Alekseev-080121-093327.jpg).
  • Homotopy invariants of pure tangles, their Artin theory and their infinitesimal theory.
  • Bracelets and the Goussarov filtration.
Knot at Lunch by Jana Archibald.jpg