To send content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about sending content to .
To send content items to your Kindle, first ensure email@example.com
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about sending to your Kindle.
Note you can select to send to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
be a totally real field in which
is unramified. Let
be a modular Galois representation that satisfies the Taylor–Wiles hypotheses and is tamely ramified and generic at a place
be the corresponding Hecke eigensystem. We describe the
-torsion in the
cohomology of Shimura curves with full congruence level at
-representation. In particular, it only depends on
and its Jordan–Hölder factors appear with multiplicity one. The main ingredients are a description of the submodule structure for generic
-projective envelopes and the multiplicity one results of Emerton, Gee and Savitt [Lattices in the cohomology of Shimura curves, Invent. Math.200(1) (2015), 1–96].
be a finite extension of
be a continuous, absolutely irreducible representation of its absolute Galois group with values in a finite field of characteristic
. We prove that the Galois representations that become crystalline of a fixed regular weight after an abelian extension are Zariski-dense in the generic fiber of the universal deformation ring of
. In fact we deduce this from a similar density result for the space of trianguline representations. This uses an embedding of eigenvarieties for unitary groups into the spaces of trianguline representations as well as the corresponding density claim for eigenvarieties as a global input.
Email your librarian or administrator to recommend adding this to your organisation's collection.