Monday, April 24, 2006

Everything you wanted to know about Langlands

... geometric duality but you were afraid to ask could be answered in this 225-page-long paper by Edward Witten and Anton Kapustin:
Previous blog articles about the Langlands program the following ones:

A semi-relevant discussion about related topics occurs at Not Even Wrong.




In the article, one learns that most of the miraculous results in mathematics that go under the name "geometric Langlands program" follow from a small portion of a decoupling limit of a topologically twisted background of string theory. ;-)

In the fast comments under this text, X.Y. argues that the non-trivial Langlands program is the arithmetic one, not the geometric one.

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