Arithmetic aspects of Bianchi groups
MH Şengün - Computations with Modular Forms: Proceedings of a …, 2014 - Springer
We discuss several arithmetic aspects of Bianchi groups, especially from a computational
point of view. In particular, we consider computing the homology of Bianchi groups together …
point of view. In particular, we consider computing the homology of Bianchi groups together …
On deformation rings of residually reducible Galois representations and R = T theorems
We introduce a new method of proof for R= T theorems in the residually reducible case. We
study the crystalline universal deformation ring R (and its ideal of reducibility I) of a mod p …
study the crystalline universal deformation ring R (and its ideal of reducibility I) of a mod p …
On deformation rings of residual Galois representations with three Jordan-Holder factors and modularity
X Huang - arXiv preprint arXiv:2308.02708, 2023 - arxiv.org
In this paper, we study Fontaine-Laffaille, self-dual deformations of a mod p non-semisimple
Galois representation of dimension n with its Jordan-Holder factors being three mutually non …
Galois representation of dimension n with its Jordan-Holder factors being three mutually non …
On lifting and modularity of reducible residual Galois representations over imaginary quadratic fields
In this paper, we study deformations of mod Galois representations (over an imaginary
quadratic field) of dimension whose semi-simplification is the direct sum of two characters …
quadratic field) of dimension whose semi-simplification is the direct sum of two characters …
𝑅= 𝑇 theorems for weight one modular forms
We prove modularity of certain residually reducible ordinary 2-dimensional $ p $-adic Galois
representations with determinant a finite order odd character $\chi $. For certain non …
representations with determinant a finite order odd character $\chi $. For certain non …
Serre's Modularity Conjecture
MM Schein - arXiv preprint arXiv:1402.7197, 2014 - arxiv.org
These are the lecture notes from a five-hour mini-course given at the Winter School on
Galois Theory held at the University of Luxembourg in February 2012. Their aim is to give an …
Galois Theory held at the University of Luxembourg in February 2012. Their aim is to give an …
[PDF][PDF] PRESENTATIONS OF NON-COMMUTATIVE DEFORMATION RINGS VIA A-INFINITY ALGEBRAS AND APPLICATIONS TO DEFORMATIONS OF GALOIS …
C WANG-ERICKSON - 2020 - sites.pitt.edu
We introduce an A∞-algebra structure on the Hochschild cohomology of the endomorphism
bimodule of a finite-dimensional representation of an associative algebra. We prove that this …
bimodule of a finite-dimensional representation of an associative algebra. We prove that this …
Presentations of non-commutative deformation rings via -algebras and applications to deformations of Galois representations and pseudorepresentations
C Wang-Erickson - arXiv preprint arXiv:1809.02484, 2018 - arxiv.org
We introduce an $ A_\infty $-algebra structure on the Hochschild cohomology of the
endomorphism bimodule of a finite-dimensional representation of an associative algebra …
endomorphism bimodule of a finite-dimensional representation of an associative algebra …
[引用][C] Deformations of residually reducible Galois representations via A∞-algebra structure on Galois cohomology
C Wang-Erickson - arXiv preprint arXiv:1809.02484, 2018