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Titlebook: Drinfeld Moduli Schemes and Automorphic Forms; The Theory of Ellipt Yuval Z. Flicker Book 2013 Yuval Z. Flicker 2013 Drinfield modules.Galo

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发表于 2025-3-21 19:17:35 | 显示全部楼层 |阅读模式
书目名称Drinfeld Moduli Schemes and Automorphic Forms
副标题The Theory of Ellipt
编辑Yuval Z. Flicker
视频video
概述Provides a ?quick introduction to the Langlands correspondence for function fields via the cohomology of Drinfield moduli varieties.Complete exposition of the theory of elliptic modules, their moduli
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Drinfeld Moduli Schemes and Automorphic Forms; The Theory of Ellipt Yuval Z. Flicker Book 2013 Yuval Z. Flicker 2013 Drinfield modules.Galo
描述.Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications. is based on the author’s original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place. It develops Drinfeld’s theory of elliptic modules, their moduli schemes and covering schemes, the simple trace formula, the fixed point formula, as well as the congruence relations and a "simple" converse theorem, not yet published anywhere. This version, based on a recent course taught by the author at The Ohio State University, is updated with references to research that has extended and developed the original work. The use of the theory of elliptic modules in the present work makes it accessible to graduate students, and it will serve as a valuable resource to facilitate an entrance to this fascinating area of mathematics.
出版日期Book 2013
关键词Drinfield modules; Galois representations; Ramanujan conjecture; cuspidal representations; elliptic modu
版次1
doihttps://doi.org/10.1007/978-1-4614-5888-3
isbn_softcover978-1-4614-5887-6
isbn_ebook978-1-4614-5888-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightYuval Z. Flicker 2013
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发表于 2025-3-21 23:07:51 | 显示全部楼层
Representations of a Weil Groupd Laumon (Publ Math IHES 65:131–210, 1987). We explain the result twice. A preliminary exposition in the classical language of representations of the Weil group, then in the equivalent language of smooth .-adic sheaves, used e.g. in (Deligne and Flicker, Counting local systems with principal unipote
发表于 2025-3-22 03:33:18 | 显示全部楼层
Book 2013d and developed the original work. The use of the theory of elliptic modules in the present work makes it accessible to graduate students, and it will serve as a valuable resource to facilitate an entrance to this fascinating area of mathematics.
发表于 2025-3-22 07:35:16 | 显示全部楼层
Axially Symmetric Non-similar Flowsd Laumon (Publ Math IHES 65:131–210, 1987). We explain the result twice. A preliminary exposition in the classical language of representations of the Weil group, then in the equivalent language of smooth .-adic sheaves, used e.g. in (Deligne and Flicker, Counting local systems with principal unipote
发表于 2025-3-22 10:56:32 | 显示全部楼层
发表于 2025-3-22 13:11:52 | 显示全部楼层
Elliptic Modules: Analytic Definition. the function field . of . over ., that is, the field of rational functions on . over .. At each place . of ., namely a closed point of ., let .. be the completion of . at . and .. the ring of integers in ... Fix a place . of .. Let .. be the completion of an algebraic closure . of ...
发表于 2025-3-22 19:23:41 | 显示全部楼层
Elliptic Modules: Geometric Definition, that is, the scheme ., is replaced by an arbitrary scheme . over . and . is replaced by an invertible (locally free rank one) sheaf . over . (equivalently a line bundle over .). An elliptic module of rank . over . will then be defined as an .−structure on . which becomes an elliptic module of rank
发表于 2025-3-22 21:29:04 | 显示全部楼层
Deligne’s Conjecture and Congruence Relationsrs 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.
发表于 2025-3-23 02:22:54 | 显示全部楼层
Isogeny Classes 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
发表于 2025-3-23 09:00:12 | 显示全部楼层
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