Finiteness properties of the category of mod p representations of GL2(Qp)
We establish the Bernstein-centre type of results for the category of mod p representations of GL2(Qp) . We treat all the remaining open cases, which occur when p is 2 or 3 . Our arguments carry over for all primes p. This allows us to remove the restrictions on the residual representation at p in Lue Pan’s recent proof of the Fontaine–Mazur conjecture for Hodge–Tate representations of Gal(¯Q/Q) with equal Hodge–Tate weights.
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Paskunas, Vytautas/Tung, Shen-Ning (2021): Finiteness properties of the category of mod p representations of GL2(Qp). Online unter: https://nbn-resolving.org/urn:nbn:de:hbz:465-20220720-111330-9.
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