### Kapranov and Getzler on Higher Stuff

#### Posted by Urs Schreiber

Last year there was the Streetfest, a big conference on categories and their application in mathematical physics and string theory.

I couldn’t go because I was busy finishing my thesis, but Marni Sheppeard, David Roberts and John Baez had been so kind to report here at the Coffee Table about some of the talks ($\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$, $\to$).

Now, David Roberts was so kind to scan in notes that Marni Sheppeard had taken in two of the most interesting talks ($\to$). Here they are. Many thanks indeed to both Marni and David!

Ezra Getzler
*Lie Theory for $L_\infty$ algebras*

(pdf with lecture notes by Marni Sheppeard)

This is on integration of $L_\infty$ algebras with comments on applications to TCFT ($\to$).

For more details see the paper

Ezra Getzler
*Lie theory for nilpotent L-infinity algebras*

math.AT/0404003.

Mikhail Kapranov
*Noncommutative Fourier Transform*

(pdf with lecture notes by Marni Sheppeard)

This starts, as the name suggests, with a study of a noncommutative version of Fourier transformations and then moves on to a discussion of parallel transport of strings and membranes.

I am glad to finally see these notes, because (as far as I am aware) there is nothing in print on this.

Alas, I am once again too busy to look at this right now. This entry just serves the purpose of reminding me later to look at this stuff.

## Le Bruyn on Kapranov

here is another

manual trackback:Prof. Le Bruyn gives links to video recordings of lectures by Kapranov on the above material over on his blog in the entry

noncommutative Fourier transform