Titlebook: Elliptic Curves, Modular Forms and Iwasawa Theory; In Honour of John H. David Loeffler,Sarah Livia Zerbes Conference proceedings 2016 Sprin

landmark

https://doi.org/10.1007/978-3-662-28432-2patible systems. Our main result is that in a sufficiently irreducible compatible system the residual images are big at a density one set of primes. This result should make some of the work of Clozel, Harris and Taylor easier to apply in the setting of compatible systems.

宽宏大量

hypnotic

Compactifications of S-arithmetic Quotients for the Projective General Linear Group,metric space (resp., Bruhat-Tits building) associated to . if . is archimedean (resp., non-archimedean). In this paper, we construct compactifications . of the quotient spaces . for .-arithmetic subgroups . of .. The constructions make delicate use of the maximal Satake compactification of . (resp.,

恶意

,Control of ,-adic Mordell–Weil Groups,algebra and the “big” Hecke algebra. We prove a control theorem of the ordinary part of the .-MW groups under mild assumptions. We have proven a similar control theorem for the dual completed inductive limit in [.].

欢乐东方

Some Congruences for Non-CM Elliptic Curves,ents of Iwasawa algebras of abelian sub-quotients of . due to the work of Ritter-Weiss and Kato (generalised by the author). In the former one needs to work with all abelian subquotients of . whereas in Kato’s approach one can work with a certain well-chosen sub-class of abelian sub-quotients of ..

lambaste

,On ,-adic Interpolation of Motivic Eisenstein Classes, étale cohomology. This connects them to Iwasawa theory and generalizes and strengthens the results for elliptic curves obtained in our former work. In particular, degeneration questions can be treated easily.

Permanent

悬挂

,Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions, terms of the .-operator acting on the attached etale .-module .(.). In this chapter we generalize Fontaine’s result to the case of arbitrary Lubin–Tate towers . over finite extensions . of . by using the Kisin–Ren/Fontaine equivalence of categories between Galois representations and .-modules and e

Tonometry