4 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…
Local-global compatibility at for torsion automorphic forms
Bence Hevesi
We prove local-global compatibility results at for the automorphic group determinants constructed by Scholze, generalising the result of Varma to torsion classes appe…
Ordinary parts and local-global compatibility at
Bence Hevesi
We prove local-global compatibility results at for the torsion automorphic Galois representations constructed by Scholze, generalising the work of Caraiani--Newton. In par…