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 g... (展开全部) 我来说两句 短评 ··· 热门 / 最新 / 好友 还没人写过短评呢 我要写书评 P-Ad...
p-adic deformation theory of automorphic forms on Shimura varieties3. A simple proof of irreducibility of the generalized Igusa tower over the Shimura varietyThe book starts with a detailed study of elliptic and Hilbert modular forms and reaches to the forefront of research of Shimura varieties ...
A (very hard) question of Kolyvagin asks if there exists a quadratic discriminant d such... K Prasanna 被引量: 0发表: 0年 Automorphic Forms and Galois Representations The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions...
Holomorphic automorphic forms can be interpreted as the sections of certain vector bun-dles on Shimura varieties,called automorphic vector bundles,and the arithmetic properties of the automorphic forms are reflected in the arithmetic properties of the corresponding bundles.The theorem of Baily and ...
A maximal ideal \mathfrak {m} of \mathbb {T}_{A}^S is G-automorphic of level K if it is in the support of H^i(X_K, A) (in the indefinite case) or H^i(Y_K, A) (in the definite case) for some i. It is G-automorphic if it is G-automorphic of level K for some K...
, p-adic automorphic forms on Shimura varieties, Springer Monographs in Mathematics, Springer- Verlag, New York, 2004.Langlands, R., A review of Haruzo Hida's p-adic automorphic forms on Shimura varieties. Bull. of the A.M.S. 44 (2007) no. 2, 291-308....
Michael A. Hill, Tyler Lawson, Automorphic forms and cohomology theories on Shimura curves of small discriminant, Adv. Math. 225 (2010), no. 2, 1013-1045.Michael Hill and Tyler Lawson. Automorphic forms and cohomology theories on Shimura curves of small discriminant. Adv. Math., 225(2):...
Coherent cohomology of Shimura varieties and automorphic formsJun SuPrinceton, NJ : Princeton University
We construct $n$-dimensional eigenvarieties for finite slope overconvergent eigenforms over some unitary Shimura varieties with signature $(1,n-1)imes(0,n)imes\\\cdotsimes(0,n)$ by adapting Andreatta-Iovita-Pilloni's method. We show that there are some Galois pseudo-characters over these ei...
Chapter VI. Automorphic forms : The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)doi:10.1515/9781400837205HarrisMichael / TaylorRichard