Difference between revisions of "Knot at Lunch"

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These are weekly over-lunch knot theory meetings held at the University of Toronto.
 
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.
  
 +
* Infinitesimal Artin - derivations on free Lie algebras.
 +
** Derivations, tangential derivations, special derivations (see {{BBS Link|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 <math>\operatorname{Gal}(\bar{{\Bbb Q}}/{\Bbb Q})</math>'', Leningrad Math. J. '''2''' (1991) 829-860, though I wouldn't be surprised if the theorem is actually older).
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** Can you prove that <math>{\mathcal A}^\mbox{hor}</math> injects into <math>{\mathcal A}^\mbox{trees}</math>?
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** The VS structure on several kinds of algebras of derivations. As always, can you find associators?
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** The Alekseev-Torossian "divergence" ({{BBS Link|Alekseev-080121-093327.jpg}}).
  
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* Homotopy invariants of pure tangles, their Artin theory and their infinitesimal theory.
 +
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* Bracelets and the Goussarov filtration.
  
 
[[Image:Knot at Lunch by Jana Archibald.jpg|center|480px]]
 
[[Image:Knot at Lunch by Jana Archibald.jpg|center|480px]]

Revision as of 10:55, 23 February 2008

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.
  • 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