automorphic representations 2cm fields 2galois representations 2adjoint representation 1bloch-kato selmer groups 1local langlands correspondence 1p-adic conditions 1p-adic hodge theory 1
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math.NT2026
Adjoint Bloch--Kato Selmer groups of regular algebraic automorphic Galois representations
Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1
The paper proves that the adjoint Bloch–Kato Selmer group of Galois representations attached to regular algebraic automorphic representations of GL_n over CM fields is zero, using…
math.NT2026
Local-global compatibility of automorphic Galois representations over CM fields at
Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1
The paper proves that Galois representations attached to cuspidal regular algebraic automorphic representations of GL_n over CM fields are potentially semi‑stable and match the loc…
math.NT2024
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…