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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
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…
math.NT2026
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…
math.NT2026
An R=T theorem for certain orthogonal Shimura varieties
Hao Peng, Dmitri Whitmore
We prove an almost minimal R=T theorem for self-dual Galois representations with coefficients in a finite field satisfying a property called rigid. We also prove the rigidity prope…