From the 2 of 5 linked papers with an AI index.
5 papers
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…
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…
The Taylor-Wiles method for reductive groups
Dmitri Whitmore
We construct a local deformation problem for residual Galois representations valued in an arbitrary reductive group which we use to develop a variant of the Tayl…
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…
Irreducibility of polarized automorphic Galois representations in infinitely many dimensions
Zachary Feng, Dmitri Whitmore
Let be a polarized, regular algebraic, cuspidal automorphic representation of where is totally real or imaginary CM, and let $(Ï_λ)_Î…