Fontaine鈥揗azur conjecture in the residually reducible case
Fontaine鈥揗azur conjecture in the residually reducible case
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Lue Pan, Princeton University
We prove the modularity of some two-dimensional residually听reducible p-adic Galois representations over Q under certain听hypothesis on the residual representation at p. To do this, we听generalize Emerton's local-global compatibility result and devise a patching argument for completed homology in this setting.
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