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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
6
votes
The status of automorphic induction
Here are a few recent results which haven't been mentioned so far (in chronological order).
Rajan, On the image and fibres of solvable base change (2002)
This relies on the result of Lapid and Ro …
6
votes
References for particular topics related to Langlands
I think you'll find answers to most of your questions in the Corvallis proceedings. More specifically,
A. Borel, W. Casselman, eds. Automorphic Forms, Representations and L-functions, Proc. Sympos. …