4 papers
The trianguline variety for reductive groups
Andrea Conti, Mohamed Moakher, Julian Quast
We study the trianguline variety for split connected reductive groups. We generalize a theorem of Breuil, Hellmann, and Schraen about its local structure, establishing smoothness o…
On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle
Lucas Lagarde, Mohamed Moakher, Morena Porzio +2
Let be a curve of genus , and let be its Jacobian. The choice of a degree 1 divisor on gives an embedding of into ; we denote by $[C]_{}^{e}\in \ma…
Quantitative level lowering for weight two Hilbert modular forms
Mohamed Moakher
We generalize a result of Ribet and Takahashi on the parametrization of elliptic curves by Shimura curves to the Hilbert modular setting. In particular, we study the behaviour of t…
Symplectic determinant laws and invariant theory
Mohamed Moakher, Julian Quast
We introduce the notion of by analogy with Chenevier's definition of determinant laws. Symplectic determinant laws are a way to define pseudo…