Talk:Hilbert's twelfth problem

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This does not seem to be particularly relevant for the Jugendtraum itself, so let's park it here for the time being. Arcfrk 00:35, 12 April 2007 (UTC)

Robert Langlands wrote an important report (Ein Märchen) in relation to automorphic representation theory and extension of the Jugendtraum. The presumable reason for his lapse into German can be explained: Märchen is fairy tale, and his conclusion in respect of extensions came down on the negative side, at least from his viewpoint or Langlands philosophy. The main thrust, on this view, of the higher-dimensional theory is to get control of Shimura varieties, their special points (CM-points), and automorphic L-functions. Evaluation of transcendental functions at given points to create specific algebraic numbers is not dealt with..

Well, it matters in a sense. Charles Matthews 15:42, 12 April 2007 (UTC)