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

morale

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 ..

钳子

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.

敌意

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

ligature

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.

Flatter

轻弹

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

漂亮才会豪华

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

DEVIL

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

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Noncommutative Iwasawa Main Conjectures over Totally Real FieldsMünster, April 2011