@Article{duepublico_mods_00076309, author = {Paskunas, Vytautas and Tung, Shen-Ning}, title = {Finiteness properties of the category of mod p representations of GL2(Qp)}, year = {2021}, month = {Dec}, day = {09}, abstract = {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({\textasciimacron}Q/Q) with equal Hodge--Tate weights.}, note = {<p>Pa{\v{s}}k{\={u}}nas, V., {\&}amp; Tung, S. (2021). Finiteness properties of the category of mod <em>p</em> representations of GL<sub>2</sub>(Q<sub><em>p</em></sub>). <em>Forum of Mathematics, Sigma,</em> 9, E80. <a href="https://doi.org/10.1017/fms.2021.72">https://doi.org/10.1017/fms.2021.72</a></p> <p>Published online by Cambridge University Press:{\&}{\#}xa0; 09 December 2021</p>}, note = {Version of Record / Verlagsversion}, note = {The publication of this article was supported by the Publication Fund of the University of Duisburg-Essen.}, doi = {10.1017/fms.2021.72}, url = {https://duepublico2.uni-due.de/receive/duepublico_mods_00076309}, url = {https://doi.org/10.1017/fms.2021.72}, file = {:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00076024/Paskunas_Tung_2021_Finiteness_properties.pdf:PDF}, language = {en} }