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Sep 7, 2014 at 4:29 answer added Joël timeline score: 8
Jun 13, 2014 at 12:36 vote accept user19918273
Jan 20, 2013 at 15:36 vote accept user19918273
Jun 13, 2014 at 12:36
Jan 19, 2013 at 18:13 answer added GH from MO timeline score: 11
Jan 19, 2013 at 16:14 comment added user30035 Local Langlands is a local story; automorphic representations are global objects. A very rough statement of the global Langlands conjectures is that a whole load of arithmetic $L$-functions arise from automorphic representations. If by "arithmetic $L$-function" you mean "$L$-function attached to a motive" or, more mundanely, "to a Galois representation", then functoriality is just the statement that there is a construction on the automorphic side which matches goofing around on the Galois side, e.g. taking the symmetric square of the auto rep.
Jan 19, 2013 at 13:02 history asked user19918273 CC BY-SA 3.0