It's been awhile
Ok, so I know I haven't posted here in awhile. I'm finishing up two weeks at a math workshop, which was essentially more work than a full semester course crammed into two weeks. But it was good. Now I'm looking forward to going home though. Tomorrow's the last day, and then I get on a plane Saturday morning.
And then on Sunday I move into my new apartment in Philadelphia, and get to see my girlfriend again for the first time in awhile, which will be good.
So the workshop I attended was on Deformation Theory. The general idea is that you have some object and you want to see how you can go about changing it slightly. This seemingly innocuous question turns out to be largely why algebraic geometry became so abstract in the first place...and then why it keeps getting worse. So during the course of the last two weeks I (supposedly) learned about stacks, deformation functors, prorepresentability, Schlessinger's criterion, the geometry of functors and all sorts of other insane things. On the plus side, when I see chunks of it again next semester, it will be vaguely familiar and at a slower pace.
So there are also a few complicated snags going on in my life, but I'm not going to rant here until they've been figured out, because it's possible they'll end up as non-problems.
Oh, and also, if you have an interest, some friends of mine and I are starting up a math blog, and I'm not above shameless self-promotion, so check it out at http://rigtriv.wordpress.com
And then on Sunday I move into my new apartment in Philadelphia, and get to see my girlfriend again for the first time in awhile, which will be good.
So the workshop I attended was on Deformation Theory. The general idea is that you have some object and you want to see how you can go about changing it slightly. This seemingly innocuous question turns out to be largely why algebraic geometry became so abstract in the first place...and then why it keeps getting worse. So during the course of the last two weeks I (supposedly) learned about stacks, deformation functors, prorepresentability, Schlessinger's criterion, the geometry of functors and all sorts of other insane things. On the plus side, when I see chunks of it again next semester, it will be vaguely familiar and at a slower pace.
So there are also a few complicated snags going on in my life, but I'm not going to rant here until they've been figured out, because it's possible they'll end up as non-problems.
Oh, and also, if you have an interest, some friends of mine and I are starting up a math blog, and I'm not above shameless self-promotion, so check it out at http://rigtriv.wordpress.com