Instrumental 发表于 2025-3-23 10:00:14
Purity Theorement, namely that all unramified components of such a π are tempered, namely that all of their Hecke eigenvalues have absolute value one. This is deduced from a form of the trace formula of Arthur, as well as the theory of elliptic modules developed above, Deligne’s purity of the action of the Froben密码 发表于 2025-3-23 14:57:08
http://reply.papertrans.cn/29/2829/282869/282869_12.png表被动 发表于 2025-3-23 19:16:35
Representations of a Weil Group ., . = .(.), and . a fixed place of ., as in Chap. 2. This section concerns the higher reciprocity law, which parametrizes the cuspidal .-modules whose component at . is cuspidal, by irreducible continuous constructible .-dimensional .-adic (.≠.) representations of the Weil group ., or irreduciblevector 发表于 2025-3-23 22:51:19
http://reply.papertrans.cn/29/2829/282869/282869_14.png无聊的人 发表于 2025-3-24 06:20:45
Lagrangian Formulation of General Relativityule, over .. Then π is the restricted direct product . over all places . of . of irreducible admissible .. = .(..)-modules π.. For almost all . the component π. is unramified. In this case there are nonzero complex numbers ., uniquely determined up to order by π. and called the . of π., with the fol揭穿真相 发表于 2025-3-24 06:45:17
http://reply.papertrans.cn/29/2829/282869/282869_16.pngdeciduous 发表于 2025-3-24 11:45:03
http://reply.papertrans.cn/29/2829/282869/282869_17.pngscotoma 发表于 2025-3-24 16:43:15
Mark Bennister,Ben Worthy,Dan Keithrs and the Galois group on them. This is a rather selective summary, and not a complete exposition. For an introductory textbook to the subject see. The shorter exposition of , Arcata, Rapport, is very useful, and so are the fundamental results of SGA, Exp. XVII, XVIII, and SGA, Exp. III.Horizon 发表于 2025-3-24 21:58:26
https://doi.org/10.1007/978-3-319-53441-1 comparison we need to describe the arithmetic data, which is the cardinality of the set of points on the fiber .. at . of the moduli scheme .., over finite field extensions of ., or, equivalently, the set . with the action of the Frobenius morphism on it, by group theoretic data which appears in th无节奏 发表于 2025-3-24 23:53:02
http://reply.papertrans.cn/29/2829/282869/282869_20.png