wClips-120530

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Videography by Zsuzsanna Dancso

Notes on wClips-120530: [edit, refresh]

Interpreting ${\mathcal A}^w(\uparrow_n)$ as a universal space of invariant tangential differential operators.

[edit]

Next Meeting. Wednesday, July 25, 2012, 12-2, at Bahen 4010 on TBA.

Announcements. small circle, UofT, LDT Blog (also here). Email Dror to join our mailing list!

Resources. How to use this site, Dror's notebook, blackboard shots.

The wClips

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Date	Links
Jan 11, 2012	120111-1: Introduction. 120111-2: Section 2.1 - v-Braids.
Jan 18, 2012	120118-1: An introduction to this web site. 120118-2: Section 2.2 - w-Braids by generators and relations and as flying rings. 120118-3: Section 2.2 - w-Braids - other drawing conventions, "wens".
Jan 25, 2012	120125-1: Section 2.2.3 - basis conjugating automorphisms of $F n$ . 120125-2: A very quick introduction to finite type invariants in the "u" case.
Feb 1, 2012	120201: Section 2.3 - finite type invariants of v- and w-braids, arrow diagrams, 6T, TC and 4T relations, expansions / universal finite type invariants.
Feb 8, 2012	120208: Review of u,v, and w braids and of Section 2.3.
Feb 15, 2012	120215: Section 2.5 - mostly compatibilities of $Z w$ , also injectivity and uniqueness of $Z w$ .
Feb 22, 2012	120222: Section 2.5.5, $\alpha:{\mathcal A}^u\to{\mathcal A}^v$ , and Section 3.1 (partially), the definition of v- and w-knots.
Feb 29, 2012	120229: Sections 3.1-3.4: v-Knots and w-Knots: Definitions, framings, finite type invariants, dimensions, and the expansion in the w case.
Mar 7, 2012	120307: Section 3.5: Jacobi diagrams and the bracket-rise theorem.
Mar 14, 2012	120314: Section 3.6 - the relation with Lie algebras.
Mar 21, 2012	120321: Section 4 - Algebraic Structures.
Mar 28, 2012	Out-of-sequence not-on-tape we watched the video of Talks: GWU-1203.
Apr 4, 2012	120404: Section 3.7 - The Alexander Theorem (statement).
Apr 18, 2012	120418: Aside on the Euler trick, the differential of $exp$ , and the BCH formula.
Apr 25, 2012	120425: Section 3.8, a disorganized lecture towards the proof of the Alexander theorem.
May 2, 2012	120502: Section 4: Algebraic structures (review), circuit algebras, v- and w-tangles.
May 10, 2012	120510: Sections 5.1 and 5.2: tangles, their projectivization and its relationship with Alekseev-Torossian spaces.
May 23, 2012	120523: Section 5.2: Proof of the relationship with A-T spaces.
May 30, 2012	120530: Interpreting ${\mathcal A}^w(\uparrow_n)$ as a universal space of invariant tangential differential operators.
Group photo on January 11, 2012: DBN, ZD, Stephen Morgan, Lucy Zhang, Iva Halacheva, David Li-Bland, Sam Selmani, Oleg Chterental, Peter Lee.