000K utf8 1100 2021$c2021-12-09 1500 eng 2050 urn:nbn:de:hbz:465-20220720-111330-9 2051 10.1017/fms.2021.72 3000 Paškūnas, Vytautas 3010 Tung, Shen-Ning 4000 Finiteness properties of the category of mod p representations of GL2(Qp) [Paškūnas, Vytautas] 4209 We establish the Bernstein-centre type of results for the category of mod p representations of GL2(Qp) . We treat all the remaining open cases, which occur when p is 2 or 3 . Our arguments carry over for all primes p. This allows us to remove the restrictions on the residual representation at p in Lue Pan’s recent proof of the Fontaine–Mazur conjecture for Hodge–Tate representations of Gal(¯Q/Q) with equal Hodge–Tate weights. 4950 https://doi.org/10.1017/fms.2021.72$xR$3Volltext$534 4950 https://nbn-resolving.org/urn:nbn:de:hbz:465-20220720-111330-9$xR$3Volltext$534 4961 https://duepublico2.uni-due.de/receive/duepublico_mods_00076309 5051 510