[图书][B] Selmer complexes
J Nekovár, K Iwasawa - 2006 - webusers.imj-prg.fr
(0.0) Big Galois representations In this work we study cohomological invariants of “big
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …
The Sato-Tate conjecture for Hilbert modular forms
T Barnet-Lamb, T Gee, D Geraghty - Journal of the American Mathematical …, 2011 - ams.org
We prove the Sato-Tate conjecture for Hilbert modular forms. More precisely, we prove the
natural generalisation of the Sato-Tate conjecture for regular algebraic cuspidal …
natural generalisation of the Sato-Tate conjecture for regular algebraic cuspidal …
Level-raising and symmetric power functoriality, I
L Clozel, JA Thorne - Compositio Mathematica, 2014 - cambridge.org
COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA Compositio Math. doi:10.1112/S0010437X13007653
FOUNDATION COMPOSITIO MATHEMATICA 150 (2014), Level-raising and symmetric …
FOUNDATION COMPOSITIO MATHEMATICA 150 (2014), Level-raising and symmetric …
[PDF][PDF] The Euler system method for CM points on Shimura curves
J Nekovár - London Mathematical Society Lecture Note Series, 2007 - Citeseer
More precisely, Kolyvagin showed that| Ш (E/K)| divides a certain multiple of [E (K): Zy] 2.
Kolyvagin's result (K) has been generalized in several directions: Kolyvagin and Logacev …
Kolyvagin's result (K) has been generalized in several directions: Kolyvagin and Logacev …
Symmetric power functoriality for Hilbert modular forms
J Newton, JA Thorne - arXiv preprint arXiv:2212.03595, 2022 - arxiv.org
arXiv:2212.03595v1 [math.NT] 7 Dec 2022 Page 1 arXiv:2212.03595v1 [math.NT] 7 Dec 2022
SYMMETRIC POWER FUNCTORIALITY FOR HILBERT MODULAR FORMS JAMES NEWTON …
SYMMETRIC POWER FUNCTORIALITY FOR HILBERT MODULAR FORMS JAMES NEWTON …
On the étale cohomology of Hilbert modular varieties with torsion coefficients
A Caraiani, M Tamiozzo - Compositio Mathematica, 2023 - cambridge.org
We study the étale cohomology of Hilbert modular varieties, building on the methods
introduced by Caraiani and Scholze for unitary Shimura varieties. We obtain the analogous …
introduced by Caraiani and Scholze for unitary Shimura varieties. We obtain the analogous …
Level raising and anticyclotomic Selmer groups for Hilbert modular forms of weight two
J Nekovář - Canadian Journal of Mathematics, 2012 - cambridge.org
Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two
Page 1 Canad. J. Math. Vol. 64 (3), 2012 pp. 588–668 http://dx.doi.org/10.4153/CJM-2011-077-6 …
Page 1 Canad. J. Math. Vol. 64 (3), 2012 pp. 588–668 http://dx.doi.org/10.4153/CJM-2011-077-6 …
Euler systems for Hilbert modular surfaces
We construct an Euler system—a compatible family of global cohomology classes—for the
Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture …
Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture …
Recent progress on Langlands reciprocity for : Shimura varieties and beyond
A Caraiani, SW Shin - arXiv preprint arXiv:2311.13382, 2023 - arxiv.org
The goal of these lecture notes is to survey progress on the global Langlands reciprocity
conjecture for $\mathrm {GL} _n $ over number fields from the last decade and a half. We …
conjecture for $\mathrm {GL} _n $ over number fields from the last decade and a half. We …
Irreducibility of automorphic Galois representations of , at most
F Calegari, T Gee - Annales de l'Institut Fourier, 2013 - numdam.org
It is a folklore conjecture that the Galois representations (conjecturally) associated to
algebraic cuspidal automorphic representations of GLn (AF) over a number field F are all …
algebraic cuspidal automorphic representations of GLn (AF) over a number field F are all …