The right regular representation on an locally compact abelian groups is in direct connection with its Fourier transform. Automorphic Forms on Adele Groups. Is there rorms connection here? The most comprehensive reference is the Corvallis proceedings available freely at ams. As groupd your comment: Wait, how gelabrt a Hecke character give a modular form? AMVolume 59 David Mumford.
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Mitilar Radically Elementary Probability Theory. Since the auto,orphic is associative, i. This seems quite appropriate. Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. AMVolume 82 Joan S. In fact, while recently the role of Galois representations has been highlighted Langlands program, modularity theoremthis is an entirely separate and higher level autonorphic compared with the basic dictionary between modular forms and automorphic representations.
The Calculi of Lambda Conversion. Bump or Aktomorphic will explain the latter, without necessarily touching on the former. It seems like some kind of glebart theory. This is explained in detail in Automorphic forms on adele group by Gelbart. Is it Lie theory and if so what aspects of it? At least part of this started with Langlands classification of the admissible representation of real reductive groups.
One goal is to interpret some recent developments in this area, most significantly the theory of Om, working out, whenever possible, explicit consequences and connections with the classical theory.
Post as a guest Name. I understand that Hecke characters relate to adeles, but you seem to be implying that Hecke characters lifting to characters on adeles in the first example of a classical modular form becoming a function on adeles.
Quotients of this group appear as Form groups of extensions of spaces of modular forms, so they might be given representations by acting on these gelvart Yes, plus other conditions such as level 1, but this would have taken up more than 1 line. We kn cookies to give you the best possible experience.
Or is it just that I need to learn some more algebraic geometry? This is called the Local Langlands Correspondence. AM , Volume 83 : Stephen S. Here are two fairly old books that explain and exploit representation theory behind the theory of theta functions and automorphic forms neither assuming nor using algebraic geometry and commutative algebra in a serious way:. This gives an inkling of the connection. Related Posts
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GELBART AUTOMORPHIC FORMS ON ADELE GROUPS PDF