Reciprocity in the Langlands program since Fermat's Last Theorem
F Calegari - arXiv preprint arXiv:2109.14145, 2021 - arxiv.org
arXiv:2109.14145v1 [math.NT] 29 Sep 2021 Page 1 arXiv:2109.14145v1 [math.NT] 29 Sep
2021 RECIPROCITY IN THE LANGLANDS PROGRAM SINCE FERMAT’S LAST THEOREM …
2021 RECIPROCITY IN THE LANGLANDS PROGRAM SINCE FERMAT’S LAST THEOREM …
Wiles defect for Hecke algebras that are not complete intersections
G Böckle, CB Khare, J Manning - Compositio Mathematica, 2021 - cambridge.org
Wiles defect for Hecke algebras that are not complete intersections Page 1 Wiles defect for
Hecke algebras that are not complete intersections Gebhard Böckle, Chandrashekhar B …
Hecke algebras that are not complete intersections Gebhard Böckle, Chandrashekhar B …
WILES DEFECT OF HECKE ALGEBRAS VIA LOCAL-GLOBAL ARGUMENTS: WITH AN APPENDIX BY NAJMUDDIN FAKHRUDDIN AND CHANDRASHEKHAR B …
G Böckle, CB Khare, J Manning - … of the Institute of Mathematics of …, 2024 - cambridge.org
In his work on modularity of elliptic curves and Fermat's last theorem, A. Wiles introduced
two measures of congruences between Galois representations and between modular forms …
two measures of congruences between Galois representations and between modular forms …
Rank 3 quadratic generators of Veronese embeddings
K Han, W Lee, H Moon, E Park - Compositio Mathematica, 2021 - cambridge.org
Let $ L $ be a very ample line bundle on a projective scheme $ X $ defined over an
algebraically closed field $\Bbbk $ with ${\rm char}\,\Bbbk\neq 2$. We say that $(X, L) …
algebraically closed field $\Bbbk $ with ${\rm char}\,\Bbbk\neq 2$. We say that $(X, L) …
On the Cohomology of GL(N) and Adjoint Selmer Groups
J Tilouine, E Urban - International Mathematics Research …, 2024 - academic.oup.com
We prove under certain conditions (local-global compatibility and vanishing of modulo
cohomology), a generalization of a theorem of Galatius and Venkatesh. We consider the …
cohomology), a generalization of a theorem of Galatius and Venkatesh. We consider the …
[图书][B] p-adic L-functions for non-critical adjoint L-values
PH Lee - 2019 - search.proquest.com
p-adic L-functions for non-critical adjoint L-values Page 1 p-adic L-functions for non-critical
adjoint L-values Pak Hin Lee Submitted in partial fulfillment of the requirements for the degree …
adjoint L-values Pak Hin Lee Submitted in partial fulfillment of the requirements for the degree …
Adjoint -functions, congruence ideals, and Selmer groups over
HL Fong - arXiv preprint arXiv:2409.14933, 2024 - arxiv.org
In this paper, we relate $ L (1,\pi,\mathrm {Ad}^\circ) $ to the congruence ideals for
cohomological cuspidal automorphic representations $\pi $ of $\mathrm {GL} _n $ over any …
cohomological cuspidal automorphic representations $\pi $ of $\mathrm {GL} _n $ over any …
Overconvergent cohomology, -adic -functions and families for over CM fields
D Barrera Salazar, C Williams - Journal de théorie des nombres de …, 2021 - numdam.org
The study of overconvergent cohomology, initiated by Pollack and Stevens in the setting of
classical modular forms, has now been used to construct p-adic L-functions in a number of …
classical modular forms, has now been used to construct p-adic L-functions in a number of …
Iwasawa theory for quadratic hilbert modular forms
D Loeffler, SL Zerbes - arXiv preprint arXiv:2006.14491, 2020 - arxiv.org
We study the Iwasawa main conjecture for quadratic Hilbert modular forms over the p-
cyclotomic tower. Using an Euler system in the cohomology of Siegel modular varieties, we …
cyclotomic tower. Using an Euler system in the cohomology of Siegel modular varieties, we …
The universal ordinary deformation ring associated to a real quadratic field
H Hida - Proceedings-Mathematical Sciences, 2022 - Springer
We study ring structure of the big ordinary Hecke algebra T with the modular deformation ρ
T: Gal (Q¯/Q)→ GL 2 (T) of an induced Artin representation Ind FQ φ from a real quadratic …
T: Gal (Q¯/Q)→ GL 2 (T) of an induced Artin representation Ind FQ φ from a real quadratic …