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Titlebook: Noncommutative Iwasawa Main Conjectures over Totally Real Fields; Münster, April 2011 John Coates,Peter Schneider,Otmar Venjakob Conference

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樓主: incoherent
11#
發(fā)表于 2025-3-23 11:23:55 | 只看該作者
Congruences Between Abelian ,-Adic Zeta Functions,This article is a reproduction of lectures in the workshop based on Sect. 6 of [Kak10] with a slight change in the notation to make it consistent with previous articles in the volume. Fix an odd prime ..
12#
發(fā)表于 2025-3-23 17:05:19 | 只看該作者
Noncommutative Main Conjectures of Geometric Iwasawa Theory,In this chapter we give a survey on noncommutative main conjectures of Iwasawa theory in a geometric setting, i.e. for separated schemes of finite type over a finite field, as stated and proved by Burns and the author. We will also comment briefly on versions of the main conjecture for function fields.
13#
發(fā)表于 2025-3-23 19:16:13 | 只看該作者
John Coates,Peter Schneider,Otmar VenjakobIncludes a self-contained and simplified proof of Kakde‘s main algebraic result, as well as introductory articles on related topics.Extremely useful for many years to come.Will almost certainly lead t
14#
發(fā)表于 2025-3-23 23:14:39 | 只看該作者
The Group Logarithm Past and Present,ght into its recent use in the construction of an adelic second Chern class for a non-commutative Riemann Roch theorem. The use of the group logarithm in non-commutative Iwasawa theory is discussed elsewherein this volume.
15#
發(fā)表于 2025-3-24 04:01:54 | 只看該作者
16#
發(fā)表于 2025-3-24 08:27:07 | 只看該作者
2194-1009 y useful for many years to come.Will almost certainly lead tThe algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commu
17#
發(fā)表于 2025-3-24 10:59:25 | 只看該作者
Conference proceedings 2013rms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a numb
18#
發(fā)表于 2025-3-24 16:04:46 | 只看該作者
Introduction to the Work of M. Kakde on the Non-commutative Main Conjectures for Totally Real Fielddakov for some very helpful comments which have been included in the present manuscript. In particular, we are very grateful to Greenberg for providing us with a detailed explanation of his observation (Theorem 4.5) that Wiles’ work (Theorems 4.3 and 4.4) on the abelian main conjecture for totally r
19#
發(fā)表于 2025-3-24 20:19:01 | 只看該作者
20#
發(fā)表于 2025-3-24 23:29:08 | 只看該作者
Noncommutative Iwasawa Main Conjectures over Totally Real FieldsMünster, April 2011
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