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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
Casselman-Shalika formula for split reductive groups
I think something very close to what is asked in the original question is explained by Haines, Kottwitz and A. Prasad in their review article.
4
votes
Number theory and physics
Many wonderful answers here, but it is perhaps useful to note that Frenkel's setting has the feature that number fields are not "directly" entering the physics in the Langlands story (I dont know whic …
6
votes
1
answer
1k
views
Arthur's refinement of parameters for unitary automorphic representations
In his work on the classification of automorphic representations of a group $G$, Arthur has conjectured that the parameterization of such representations involves a homomorphism $\rho : SL_2 \times Ga …