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Results tagged with automorphic-forms
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user 3545
An automorphic form is a well-behaved function from a topological group $G$ to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup $\Gamma \subset G$ of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
2
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Accepted
Shimura correspondence for automorphic forms on other groups
There's not a short answer to this question, but here are a few points:
Regarding the claim that "the Shimura correspondence does not fit into Langlands functoriality." In some sense it does now! …
- 13.3k
12
votes
What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$...
First, I'd like to second the reference given by JT: David Vogan, "The local Langlands conjecture", appearing in Representation Theory of Groups and Algebras (J. Adams et al., eds. Contemporary Mathe …
- 13.3k
9
votes
Why only half-integral weight automorphic forms?
I think that modular forms (for $SL_2$) of integer and half-integer weights are most important for arithmetic, while modular forms of other (real or complex) weights are primarily objects of analytic …
- 13.3k