GELBART AUTOMORPHIC FORMS ON ADELE GROUPS PDF

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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Or is it Fourier analysis on groups? The point is that I’m looking for basic ideas that someone with an elementary background might be able to understand. For the cuspidal spectrum see [Don82] of the references, too.

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Actually, that book does seem particularly good as an answer to this question. Mehta 1 9. Email Required, but never shown.

As for your comment: 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:. I think I need to go to bed now. 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: In addition, I am unfamiliar with terms like the “spectrum” of the space of cusp forms, for instance.

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Here, too, the results from representation theory can be translated back into information about theta functions. More importantly, I have a basic background in the representation theory of finite groups.

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. Automorpuic point of listing ideas is to show the kind of intuition I might be looking for.

Automorphic Forms on Adele Groups. (AM), Volume 83

I suggest you take a look at Borel’s article Introduction to automorphic forms in the Boulder conference available freely at ams. Sign up using Facebook. Book ratings by Goodreads. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

I’ve browsed through griups book. We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. Academic Press, original edition published in Russian in Lion, Vergne, The Weil representation, Maslov index and theta series. We use cookies to give you the best possible experience.

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Academic Press, original edition published in Russian in Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand gelbsrt your continued use of the website is subject to these policies. I haven’t taken a course in representation theory beyond representations of finite groups and would be interested in knowing where I can get the required representation theory background before reading the book.

Sign up using Email and Password. Introduction to Algebraic K-Theory. MathOverflow fogms best with JavaScript enabled. Probably the most notable example is monstrous moonshine.

Automorphic Forms on Adele Groups. (AM-83), Volume 83

This gives an inkling of the connection. Would a course on measure theory teach me what I need to know or at velbart be a necessary prerequisite? The Best Books of If you were to pick up Bump’s book Automorphic forms and representations he’ll go over some background.

What kind of math do you need to know to do these books?