منابع مشابه
Some New Results on the Eichler Cohomology of Automorphic Forms
We here formulate and prove several new results concerning the Eichler cohomology of automorphic forms on finitely generated Fuchsian groups of the first kind and, in particular, on //-groups. The Eichler cohomology we introduce is connected with automorphic forms of arbitrary real degree (as opposed to integral degree), with a suitably chosen underlying space of functions analytic in the upper...
متن کاملCohomology of Arithmetic Groups and Periods of Automorphic Forms
(1) Firstly, I gave a brief introduction to the cohomology of arithmetic groups, in particular the fact that the “tempered” (informally: “near the middle dimension”’) part of the cohomology looks like the cohomology of a torus. This corresponds to §2, §3, §4 of these notes. For the reader totally unfamiliar with the cohomology of arithmetic groups, §3 might be the best thing to focus on. (2) Ne...
متن کاملHodge Domains and Automorphic Cohomology
I. Background material 1 A. Mumford-Tate groups and domains B. The structure theorem for global variations of Hodge structure C. Hodge groups and domains II. General context A. Algebro-geometric B. Representation theoretic C. Arithmetic III. Cyclic spaces and their enlargements A. General definitions and some properties B. Two examples C. Enlargements of cycle spaces IV. Penrose-Radon transform...
متن کاملBinary quadratic forms and Eichler orders
For any Eichler order O(D,N) of level N in an indefinite quaternion algebra of discriminant D there is a Fuchsian group Γ(D,N) ⊆ SL(2,R) and a Shimura curve X(D,N). We associate to O(D,N) a set H(O(D,N)) of binary quadratic forms which have semi-integer quadratic coefficients, and we develop a classification theory, with respect to Γ(D,N), for primitive forms contained in H(O(D,N)). In particul...
متن کاملAutomorphic Forms
We apply a theorem of J. Lurie to produce cohomology theories associated to certain Shimura varieties of type U(1, n−1). These cohomology theories of topological automorphic forms (TAF ) are related to Shimura varieties in the same way that TMF is related to the moduli space of elliptic curves. We study the cohomology operations on these theories, and relate them to certain Hecke algebras. We c...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1971
ISSN: 0019-2082
DOI: 10.1215/ijm/1256052512