To celebrate the new year, I’ve finally gotten around to updating my home page, and have updated the blog theme to the latest wordpress default. I’ve added an “FAQ” feature, which is still under construction and should get additions as I find time. Please let me know of anything that doesn’t work.
This coming semester I’ll be teaching the second half of our graduate course on Lie groups and representations, following on from Andrei Okounkov’s first semester. A tentative syllabus is here, and I hope to find time to update some of my older lecture notes as well as write some new ones.
The time I’ve spent the last couple years trying to learn about the Langlands program has finally gotten me to the point of thinking I understand enough to write something sensible about what the relationship might be between automorphic representations and quantum field theory. I’ll be working on that and preparing the graduate course for the next couple weeks.
One thing that was extremely helpful was Dick Gross’s lecture series here last semester. Video of the lectures is on YouTube here. Gross is an incredibly good lecturer, and this series was aimed at explaining exactly many of the things I’ve been having trouble understanding about this subject. Anyone who seriously wants to understand the representation theory point of view on number theory and the Langlands program should find these lectures helpful.
This spring the Eilenberg lecturer will be Edward Frenkel, who will be lecturing on geometric Langlands and quantum field theory. In some sense he’ll be picking up where Gross left off. He was at Gross’s last lecture, and there was a ceremonial handing over of the chalk. Of course I’ve very much looking forward to these lectures, and I expect that there will again be video available.