I’d been wondering what’s up with Witten and his ongoing work on geometric Langlands. He has been giving talks about this since last summer, and in the past has always quickly produced a paper (often a quite long one) once he has some new result like this that he’s publicly talking about. It had surprised me that it was taking him unusually long to get this written up, but now comes news from Anton Kapustin (via Lubos) that Witten is working on a document 3-400 pages long. This length would certainly explain why it is taking longer than usual, and surely the end result will be something quite interesting. The Kapustin rumor also claims that whatever this 300-400 page thing is that Witten is working on, it’s not a paper. Mysterious… The obvious guess is that it will actually be a book.
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