5 papers
Adjoint Bloch--Kato Selmer groups of regular algebraic automorphic Galois representations
Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1
We prove the vanishing of the adjoint Bloch--Kato Selmer group of the Galois representations associated to regular algebraic automorphic representations of general linear groups ov…
Local-global compatibility of automorphic Galois representations over CM fields at
Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1
Let be a CM number field; then, to any cuspidal, regular algebraic automorphic representation of is associated a compatible system of -adic Gal…
Dwork Motives, Monodromy and Potential Automorphy
Lambert A'Campo
In this paper we study certain families of motives, which arise as direct summands of the cohomology of the Dwork family. We computationally find examples of interesting families w…
Two strand twisting
Lambert A'Campo, Sebastian Baader, Livio Ferretti +1
We prove that fibred knots cannot be untied with -moves, for all . More generally, we give an upper bound on the number of two strand twist operations that…
Every 7-Dimensional Abelian Variety over the p-adic Numbers has a Reducible -adic Galois Representation
Lambert A'Campo
Let be a complete, discretely valued field with finite residue field and its absolute Galois group. The subject of this note is the study of the set of positive integers…