18 citations · 60 across the 10 of their papers we have counts for
Showing 2010 · math.NTShow all
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math.NT2010★ 8 cited
Potential automorphy and change of weight
Thomas Barnet-Lamb, Toby Gee, David Geraghty +1
We prove a new automorphy lifting theorem for l-adic representations where we impose a new condition at l, which we call `potential diagonalizability'. This result allows for `chan…
math.NT2010★ 1 cited
Non-big subgroups for l large
Thomas Barnet-Lamb
Lifting theorems form an important collection of tools in showing that Galois representations are associated to automorphic forms. (Key examples in dimension n>2 are the lifting th…
math.NT2010★ 18 cited
Congruences between Hilbert modular forms: constructing ordinary lifts
Thomas Barnet-Lamb, Toby Gee, David Geraghty
Under mild hypotheses, we prove that if F is a totally real field, k is the algebraic closure of the finite field with l elements and r : G_F --> GL_2(k) is irreducible and modular…