An elementary construction of Shimura varieties as moduli of abelian schemes 2. p-adic deformation theory of automorphic forms on Shimura varieties 3. A simple proof of irreducibility of the gene... (展开全部) 我来说
, p-adic automorphic forms on Shimura varieties, Springer Monographs in Mathematics, Springer- Verlag, New York, 2004.H.Hida, p-adic Automorphic Forms on Shimura Varieties, Springer-Verlag, New York (2004)R. P. Langlands, A review of Haruzo Hida's p-adic automorphic forms on Shimura ...
In §2.2, we introduce the notion of Siegel hermitian varieties which are over Qp and are the main stage to characterize the rationality of automorphic forms on the unitary group Gr . In §2.3, we review the construction of an auxiliary Shimura variety over Q that is of PEL type in the ...
that the natural parameter spaces for p-adic L-functions and Euler systems are not the usual eigenvarieties (parametrising nearly-ordinary families of automorphic representations), but other, larger spaces depending on a choice of a parabolic subgroup, which we call ‘big parabolic eigenvarieties’...
Wee Teck Gan - 1_2 Explicit Constructions of Automorphic Forms 01:24:23 Xinwen Zhu - 1_3 Coherent Sheaves on the Stack of Langlands Parameters 01:22:25 Xinwen Zhu - 2_3 Coherent Sheaves on the Stack of Langlands Parameters 01:19:34 Xinwen Zhu - 3_3 Coherent Sheaves on the Stack...
On recursive properties of certain p-adic Whittaker functions. submitted for publication - Hörmann - 1010 () Citation Context ...ghts are computed w.r.t. the associated arithmetic automorphic line bundle (10.4) Ξ ∗ E on M( K ∆ O(LZ)). For a more detailed introduction to the ...
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and. Letbe an odd prime unramified inanda prime abovel. Letbe a CM quadratic extension ofas above. Letbe the quadratic character associated withandthe relative different. Letcdenote the complex conjugation onwhich induces the unique non-trivial element ofvia. We assume the following hypothesis:...
We formulate and prove certain vanishing theorems for p -adic automorphic forms on unitary groups of arbitrary signature. The p -adic q -expansion principle for p -adic modular forms on the Igusa tower says that if the coefficients of (sufficiently many of) the q -expansions of a p -adic...
Verifying the set of conditions on sections of automorphic vector bundles of a given (projective) Shimura variety of PEL type, we prove the vertical control theorem for automorphic forms on the Shimura varieties. We also state a similar result for quasi-projective Shimura varieties of quasi-split...