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Category Archives: Langlands
Geometric Langlands at the KITP
There’s a very interesting program going on at the KITP discussing recent work of mathematical interest on 4d supersymmetric gauge theories (N=2 and N=4). These include various connections of 4d gauge theory to geometric Langlands uncovered by Witten and collaborators … Continue reading
Posted in Langlands
6 Comments
Latest Langlands
The site at UBC collecting the work of Robert Langlands is now no longer being maintained. There’s a new site now at the IAS. It includes some interesting recent short articles of various kinds that I hadn’t seen before, including … Continue reading
Gauge Theory and Langlands Duality
At the KITP in Santa Barbara there’s a wonderful program on Gauge Theory and Langlands Duality starting up this week, with some of the talks beginning to become available. The main topic will be the relations between S-duality in quantum … Continue reading
Posted in Langlands
11 Comments
Geometric Langlands and QFT
Wednesday’s session at the IAS Conference on Gauge Theory and Representation Theory was mostly devoted to talks by Witten and his collaborators about their latest work on the approach to relating geometric Langlands and QFT that he has pioneered over … Continue reading
Posted in Favorite Old Posts, Langlands
15 Comments
Langlands on Langlands
In a forthcoming issue of the AMS Bulletin, there will be a long review by Robert Langlands of the book p-adic Automorphic Forms on Shimura Varieties by Haruzo Hida. The book itself is on a very technical subject, but the … Continue reading
Posted in Langlands
24 Comments
More On Geometric Langlands (a Grand Unified Theory of Math?)
After mentioning in the last posting that Witten is giving talks in Berkeley and Cambridge this week, I found out about various recent developments in Geometric Langlands, some of which Witten presumably will be talking about. Edward Frenkel has put … Continue reading
Posted in Langlands
50 Comments
Witten Geometric Langlands Talk and Paper
I spent yesterday afternoon down in Princeton, and attended a talk by Witten at the Institute on his work relating gauge theory and the geometric Langlands program. He says that his paper with Kapustin is done, it’s about 220 pages … Continue reading
Posted in Langlands
105 Comments
Geometric Langlands on the Beach
I’ve written a bit about the Geometric Langlands Program and its relation to physics here late last year, confessing to being confused about what it was supposed to have to do with N=4 supersymmetric Yang-Mills. Yesterday Witten gave a talk … Continue reading
Posted in Langlands
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Langlands Program and Physics
One of my minor hobbies over the years has been trying to understand something about the Langlands conjectures in number theory, partly because some of the mathematics that shows up there looks like it might be somehow related to quantum … Continue reading
Posted in Langlands
31 Comments