post mini-project
I have been busy lately, working on my mini-project writing a review article on D-branes, homological algebra, and category theory. I have posted the review on my homepage, but if you want to learn it seriously I recommend reading Aspinwall, D-Branes on Calabi-Yau Manifolds. I had to compress the 132-page-long lecture notes and also Witten’s Mirror Manifolds and Topological Field Theory in just 15 pages for my essay, so I couldn’t build up homological mirror symmetry from scratch.
I also gave a talk on this subject for the Part III return conference in Cambridge, which was held for theoretical physicists that did Part III last year. It was nice to see all my friends again. Here is a cute teaser by Flip for the fifth Part III return conference. I was initially planning to blog about the conference, but I decided against it. Mostly because I didn’t understand most of the talks, except for Cyril’s talk on spin geometry.
Since all of the dust has settled down, I will (attempt to) start blogging regularly. I can’t promise anything now, but I am hoping to write about generalized complex geometry. There is one problem, though, I have to learn it beforehand! So patience and silence might be needed.
I think you should still blog about the conference. I think each of us understood different patches of each others’ talks. Perhaps if we combine our understanding we can make a proper atlas.
(Was that terribly geeky?)
A proper post on spin geometry would be very welcome… but you’d have to make it accessible to people like me. I.e. you can’t just go straight to your “square root of a principal fibre bundle.”
Homological algebra, Category theory! You’re doing really abstract stuff!
Flip/Thanks for the suggestion. I will write a review on Cyril’s talk.
Jaewon/Well, I am not really “doing” abstract stuff, I am pretending to do abstract stuff!