Knot at Lunch on January 30 2008 - Revision history

Drorbn at 15:33, 4 February 2008

2008-02-04T15:33:41Z

← Older revision		Revision as of 11:33, 4 February 2008
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	** Is there an Artin's theorem for pure virtual braids?		** Is there an Artin's theorem for pure virtual braids?
	** What is the finite type completion of <math>\operatorname{Aut}(F_n)</math>? How about some of its obvious subgroups?		** What is the finite type completion of <math>\operatorname{Aut}(F_n)</math>? How about some of its obvious subgroups?

	* 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).
	** Can you prove that <math>{\mathcal A}^\mbox{hor}</math> injects into <math>{\mathcal A}^\mbox{trees}</math>?
	** The VS structure on several kinds of algebras of derivations. As always, can you find associators?
	** The Alekseev-Torossian "divergence" ({{BBS Link\|Alekseev-080121-093327.jpg}}).

Drorbn at 16:47, 30 January 2008

2008-01-30T16:47:37Z

← Older revision		Revision as of 12:47, 30 January 2008
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	Dror.		Dror.

	==~~Some~~ ~~Content~~==		==Another Invitation==

			Madre, at [http://www.alunatheatre.ca/ Aluna Theatre], January 29 - February 17, featuring Hernando's daughter Juliette Burgos.
⚫	* The Artin representation of the pure braid group on <math>n</math> strand <math>PB_n</math> into the free group on <math>n</math> generators <math>F_n</math> (hey, I'm not even sure that's what it's called!).

			==Possible Agenda==

		⚫	* The Artin representation of the pure braid group on <math>n</math> strand <math>PB_n</math> into the automorphism group <math>\operatorname{Aut}(F_n)</math> of the free group on <math>n</math> generators <math>F_n</math> (hey, I'm not even sure that's what it's called!).
			** Abstract definition.
			** Practical computation from the Wirtinger presentation.
			** Practical computation by stirring the soup.
			** Properties.
			** Artin's theorem (is that what it's called?).
			** Is there an Artin's theorem for pure virtual braids?
			** What is the finite type completion of <math>\operatorname{Aut}(F_n)</math>? How about some of its obvious subgroups?

			* 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).
			** Can you prove that <math>{\mathcal A}^\mbox{hor}</math> injects into <math>{\mathcal A}^\mbox{trees}</math>?
			** The VS structure on several kinds of algebras of derivations. As always, can you find associators?
			** The Alekseev-Torossian "divergence" ({{BBS Link\|Alekseev-080121-093327.jpg}}).

Drorbn at 16:20, 30 January 2008

2008-01-30T16:20:23Z

← Older revision		Revision as of 12:20, 30 January 2008
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	Dror.		Dror.

			==Some Content==

			* The Artin representation of the pure braid group on <math>n</math> strand <math>PB_n</math> into the free group on <math>n</math> generators <math>F_n</math> (hey, I'm not even sure that's what it's called!).

Drorbn at 17:06, 28 January 2008

2008-01-28T17:06:49Z

New page

{{KAL/Navigation}}

==Invitation==

Dear Knot at Lunch People,

We will have our next lunch on Wednesday January 30, at the usual place, Bahen 6180, at 12 noon.

As always, please bring brown-bag lunch and fresh ideas. The agenda: we may talk a bit about Artin's theorem on the braid group and automorphisms of the free group, or we may talk about something else.

Further information about this meeting will/may appear at <span class="plainlinks">{{SERVER}}/drorbn/index.php?title={{PAGENAMEE}}</span>.

As always, if you know anyone I should add to this mailing list or if you wish to be removed from this mailing list please let me know. To prevent junk accumulation in mailboxes, I will actively remove inactive people unless they request otherwise.

Best,

Dror.