Links Between Cyclotomic and GL2 Iwasawa Theory

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On descent theory and main conjectures in non-commutative Iwasawa theory (2007, result): “In §3 we define a suitable notion of μ-invariant and in §4 we combine this notion with a result of Schneider and the second named author from [27] and the formalism developed by Fukaya and Kato in [18] to define canonical ‘characteristic series’ in non-commutative Iwasawa theory (this construction e”
Computations in non‐commutative Iwasawa theory (2005, unknown): “re exists an integer n≥1 such that χ(G,twρ n (X(E/F∞))) = 1. Indeed, (iii) of Theorem A.13 is proven for M= X(E/F∞) in [26], and (ii) is valid by a similar argument to that used to prove Lemma 2.5 of [11]. Prior to proving Theorem A.13, we state a lemma which will be proven at the end of the Appendi”