37 citations · 38 across the 6 of their papers we have counts for
7 papers
Characterizing perfectoid covers of abelian varieties
Rebecca Bellovin, Hanlin Cai, Sean Howe +1
We give a simple characterization of all perfectoid profinite étale covers of abelian varieties in terms of the Hodge-Tate filtration on the -adic Tate module. We also compute t…
Irregular loci in the Emerton-Gee stack for GL_2
Rebecca Bellovin, Neelima Borade, Anton Hilado +5
Let K/Q_p be unramified. Inside the Emerton-Gee stack X_2, one can consider the locus of two-dimensional mod p representations of the absolute Galois group of K having a crystallin…
Modularity of trianguline Galois representations
Rebecca Bellovin
We use the theory of trianguline -modules over pseudorigid spaces to prove a modularity lifting theorem for certain Galois representations which are trianguline at , incl…
Cohomology of -modules over pseudorigid spaces
Rebecca Bellovin
We study the cohomology of families of -modules with coefficients in pseudoaffinoid algebras. We prove that they have finite cohomology, and we deduce an Euler characteristi…
Galois representations over pseudorigid spaces
Rebecca Bellovin
We study -adic Hodge theory for families of Galois representations over pseudorigid spaces. Such spaces are non-archimedean analytic spaces which may be of mixed characteristic,…
G-valued local deformation rings and global lifts
Rebecca Bellovin, Toby Gee
We study G-valued Galois deformation rings with prescribed properties, where G is an arbitrary (not necessarily connected) reductive group over an extension of Z_l for some prime l…