Gelbart, Stephen S. Automorphic Forms on Adele Groups. (AM), Volume Series:Annals of Mathematics Studies PRINCETON UNIVERSITY PRESS. Automorphic Representations of Adele Groups. We have defined the space A(G, Γ) of auto- morphic forms with respect to an arithmetic group Γ of G (a reductive. Download Citation on ResearchGate | Automorphic forms on Adele groups / by Stephen S. Gelbart | “Expanded from notes mimeographed at Cornell in May of.
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In addition, Hecke operators are symmetric-like sums over elements of groups, which would suggest a strong connection to representation theory. Is there a connection here? Finite Dimensional Vector Spaces. This seems quite appropriate. An introduction to the Langlands program by Bernstein and others is also good.
If you were to pick up Bump’s book Automorphic forms and representations he’ll go over some background.
I think I need to go to bed now. Probably the most notable example is monstrous moonshine.
AMVolume Michael Harris. Post as a guest Name.
Sign up using Email and Password. These correspondences should be nice in that things that happen on one side should correspond to things happening on the gepbart.
This is called the Local Langlands Correspondence.
Automorphic Forms on Adele Groups. (AM), Volume 83
Wait, how does a Hecke character give a modular form? I have a solid background knowledge at the first-year graduate level I’ve passed qualsbut I don’t know what the prerequisites for Gelbart’s book are.
Lectures on Curves on an Algebraic Surface. As for suggestions on what to read, I found Gelbart’s book Automorphic forms on adele groups pretty readable. AMVolume 55 Gerald E.
Automorphic Forms on Adele Groups. (AM-83), Volume 83
In fact, my main familiarity with them is in showing the equivalence of ideal-theoretic and idelic class field theory, which is precisely your “toy version,” so I’m quite curious to eventually understand what you talked about. Dynamics in One Complex Variable.
Sign up or log in Sign up using Google. Also, when you say “not just as functions on GL2 R but rather on GL2 A ,” does that mean that belbart a modular form in the standard sensethere is a corresponding function on GL2 A? Introduction to Algebraic K-Theory.