Torossian's Talk

Notes on Torossian-1006: [edit, refresh]

"Construction geometrique de l'associateur $Φ A T$ "

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0:03:45 [edit] Part I. Some material from the Kontsevich machinery...

0:07:22 [edit] We need graphs...

0:10:06 [edit] Now we need propagator...

0:11:37 [edit] $\phi_{hyp}(p,q)=\mbox{arg}\left(\frac{q-p}{q-\bar{q}}\right)$

0:14:41 [edit] From graph to formula...

0:18:20 [edit] Define the "Kontsevich Coefficient".

0:20:03 [edit] Example by Felder and Willwacher of the irrationality of the Kontsevich coefficients.

0:22:15 [edit] The Bernoulli numbers.

0:22:44 [edit] The BCH formula in Kontsevich language. (Doesn't he need to restrict to connected graphs?)

0:26:06 [edit]

0:26:52 [edit] Part II. Deformations.

0:33:02 [edit] Adding a red/blue edge to get a 1-form.

0:36:10 [edit]

Claim. This defines a flat tder-valued connection.

0:38:03 [edit]

0:46:05 [edit] The last five minutes - $\infty$ -position.

0:54:53 [edit] Factorization for associators.

1:00:12 [edit] Questions.