Conjecture: the quantum link invariants from U_{q}(osp(1/2n)) and U_{-q}(so(2n+1)) are “the same”

August 30, 2006

I’m working on the idea that the quantum link invariants from U_{q}(osp(1/2n)) and U_{-q}(so(2n+1)) are the same up to a change of variable. I havn’t gone through all the details yet, but the essential ideas are as follows. Read the rest of this entry »

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Madrid thursday evening – just gave my talk

August 25, 2006

Just gave my talk, and chatted to Nathan Geer and a few other people afterwards, which was nice! A few months ago I met Nathan over the internet when I discovered that his math work intersects mine – his interests include quantum (super)algebras and low dimensional topology and his website is http://www.math.gatech.edu/~geer/. His work looks impressive. One of the things he and another guy have done is define a link invariant using sl(2,1) that is basically the quantum link invariant from quantum sl(2,1) multiplied by some constant. The usual Reshetikhin link invariant coming from quantum sl(2,1) is zero as the quantum superdimensions of the relevant representations are zero. However, they found a way around this. Read the rest of this entry »


International Congress of Mathematicians, Madrid

August 15, 2006

I’m off to the International Congres of Mathematicians tomorrow via Paris and coming back via Hong Kong. For my own benefit and for the multitudes of people not attending ICM2006, here are the slides I’ll be using (it’s a Word document).

madrid-talk-slides.doc

Things are very hectic! I’ll manage the blog while away and write a few things here and there.

Last thing is that I’ve just become a reviewer for the Mathematical Reviews on mathscinet – am very happy!


Things to do…

August 9, 2006

Right. During the next week I have some things to do. I have to prepare my slides for the Madrid conference. I have to organise myself for the conference and get myself ready for the trip. I have lots of (paid) work to complete. I have important things to consider and work on. I like the way that life is not predictable. We’re all subject to things beyond our control.


Colloquium on fusion power and the ITER experimental fusion reactor – Monday 14th August

August 2, 2006

 I receive the abstracts of the School of Physics Colloquia at the University of Sydney, and this one, on the recently agreed to new experimental fusion reactor in France, ITER, should be very interesting.

Like many people with a math background, I’ve imagined that fusion will be the source of much of our electricity, if and when the technology and economics makes it possible. I bet it’ll happen within my lifetime (optimistically, sometime in the next 70 years!).

                   SCHOOL OF PHYSICS COLLOQUIUM

                   Monday 14th August, 2006 at 3:15 pm

Venue:     Slade Lecture Theatre, Ground  Floor, School of Physics

Title:               Fusion Energy and ITER

Presenter:              Dr. Barry J. Green
                    Directorate-General for Research,
                      European Commission, Brussels Abstract
Read the rest of this entry »