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Higher reciprocity laws
27
votes
Accepted
Why is Class Field Theory the same as Langlands for GL_1?
What you are looking for is the correspondence between algebraic Hecke characters over a number field $F$ and compatible families of $l$-adic characters of the absolute Galois group of $F$. This is la …
9
votes
What's the status of Arthur's announced classification for GSp(4)?
A student of Arthur, Bin Xu, has worked on the general problem of classifying automorphic representations for $GSp(2n)$. See his webpage here, or better:
Bin Xu, Endoscopic Classification of Repre …