06-1350/Class Notes for Tuesday November 14: Difference between revisions

Revision as of 10:57, 13 November 2006

#	Week of...	Links
1	Sep 11	About, Tue, Thu
2	Sep 18	Tue, Kurlin(P), Thu
3	Sep 25	Tue, Photo, Thu
4	Oct 2	HW1, Tue, Thu
5	Oct 9	Tue(P), Thu(P)
6	Oct 16	HW2, Tue(P), Thu(P)
7	Oct 23	Tue(P), Thu
8	Oct 30	HW3, Tue, Thu
9	Nov 6	Tue ([math]\displaystyle{ \nu }[/math]), Thu
10	Nov 13	Tue, Thu
11	Nov 20	HW4(P), Thu
12	Nov 27	Thu
13	Dec 4	Syzygies in Asymptote, Final
	Jan 8	Grades
Note. (P) means "contains a problem that Dror cares about".
Add your name / see who's in!
On to 07-1352

In Preparation

The information below is preliminary and cannot be trusted! (v)

Recall planar algebras and the planar algebra of shielded chord diagrams.
Finish describing the necessary relations between [math]\displaystyle{ T }[/math], [math]\displaystyle{ R }[/math], [math]\displaystyle{ \Phi }[/math] and [math]\displaystyle{ B^{\pm} }[/math] in verbal form.
Sweeping clean a tree and [math]\displaystyle{ {\mathcal A}(\Gamma)\equiv{\mathcal A}(\uparrow_{b_1(\Gamma)}) }[/math].

In the coordinates above, write the [math]\displaystyle{ TR\Phi B }[/math] relations in various algebraic notations.

@@ Line 3: / Line 3: @@
 {{In Preparation}}
+==Today's Agenda==
-Today's handout was taken from [http://www.math.toronto.edu/~drorbn/Talks/HUJI-001116/index.html Talks: HUJI-001116 (Knotted Trivalent Graphs, Tetrahedra and Associators)].
+* Recall planar algebras and the planar algebra of shielded chord diagrams.
+* Finish describing the necessary relations between <math>T</math>, <math>R</math>, <math>\Phi</math> and <math>B^{\pm}</math> in verbal form.
+* Sweeping clean a tree and <math>{\mathcal A}(\Gamma)\equiv{\mathcal A}(\uparrow_{b_1(\Gamma)})</math>.
+[[Image:06-1350-TRPhiB.png|center|500px]]
+* In the coordinates above, write the <math>TR\Phi B</math> relations in various algebraic notations.