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22 votes
1 answer
3k views

What is the $p$-adic Langlands conjecture for $\mathbf{GL}_1$?

In the Boston conference on Fermat's Last Theorem (Summer 1995), Barry Mazur said (around 15m into the video) about class field theory that If you are a number-theorist and you want to cheer ...
Chandan Singh Dalawat's user avatar
7 votes
1 answer
424 views

Non-existence of "higher" Artin map

So rank $1$ local Langlands is special in as that it is given by the Artin map $$\text{GL}_1(K)\to G_K^{ab},$$ whereas in the higher rank (to the best of my knowledge) there doesn't exist a map $$\...
curious math guy's user avatar