### Link Homology and Categorification in Kyoto

#### Posted by John Baez

Aaron Lauda points out an interesting conference:

- Link Homology and Categorification, Kyoto University, May 10-25, 2007.

You can see notes for some of the talks!

Categorifying knot invariants is all the rage, as these talks show:

- Lev Rozansky, Categorification of the $SU(N)$ HOMFLY–PT polynomial.
- Lev Rozansky, Categorification of the $SO(2N)$ Kauffman Polynomial.
- Sergei Gukov, Gauge Theory and Categorification.
- Raphael Rouquier, $sl(2)$-Categorification.
- Raphael Rouquier, Higher Representation Theory.

The last talk here hints most strongly at the big picture. But, it’s best to look at all the talks, including ones I haven’t listed here, if you want to understand what’s really going on. It’ll take a lot of work unless you’re pretty familiar with quantum invariants of knots, since the notes are quite terse.

Maybe some people who went to the conference can say a bit about the high points?

## Re: Link Homology and Categorification in Kyoto

For those who are interested in this stuff, I’m sure there will be plenty of it at the Faro conference, which I’ll be talking about on my own weblog while I’m there in early July.