I’m back from the Fields Institute in Toronto, where I spoke at the above workshop, on my usual topic of cyclotomic and 4-cyclotomic matrices/graphs. During the talk I described my conjecture that a graph is maximal cyclotomic if-and-only if it’s 4-cyclotomic, and after an hour at the blackboards with James McKee I now have a potential approach for proving that. So although I don’t think my talk went especially well, it’s had the desired effect!
You can find my slides here, and an audio recording may become available in the future- the conference was held in Toronto and Vancouver via videoconference (which worked well) so hopefully all the talks will be archived online.
Update 24/x/09: Audio of all talks at Fields (hence, including mine) can now be found on their website.