Greg Egan just proved something nice: the E10 lattice, famous in string theory and supergravity, can be described as the lattice of self-adjoint matrices with integral octonions as entries!
I'm not sure this result is new, but I've been wanting it for quite a while and haven't seen it...
With any luck, sometime soon you can read this paper on the arXiv:
Aristide Baratin and Laurent Freidel
Hidden quantum gravity in 4d Feynman diagrams: emergence of spin foams
The idea is that any ordinary quantum field theory in 4d Minkowski spacetime can be reformulated as a spin foam...
A friend of mine offered to videotape talks at http://loops05.aei.mpg.de/" [Broken], so I contacted Thomas Thiemann (one of the organizers) - and he said that they're already planning to videotape the conference!
So, eventually you'll be able to see all the talks.
But there's no need to...
This quantum gravity workshop at the Perimeter Institute was
It was their first conference in the new building. I'm writing an
issue of This Week's Finds about some things I learned that made me...
Peter May and I are about to run a workshop on n-categories at the Institute for Mathematics and its Applications:
We'll mainly be trying to compare different definitions of n-categories, but there will be an afternoon about applications of...
I just got back from the Marseille conference on loop quantum gravity and spin foams:
It was really great, so I devoted "week206" of my column This Week's Finds entirely to this conference...