Finiteness properties of the category of mod p representations of
Abstract We establish the Bernstein-centre type of results for the category of mod p representations of $\operatorname {\mathrm {GL}}_2 (\mathbb {Q}_p)$ . 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 $\operatorname {\mathrm {Gal}}(\overline {\mathbb Q}/\mathbb {Q})$ with equal Hodge–Tate weights.
2014 ◽
Vol 222
(3)
◽
pp. 171-178
◽
2018 ◽
Vol 226
(3)
◽
pp. 152-163
◽
Keyword(s):
2017 ◽
Vol 43
(5)
◽
pp. 757-780
◽
Keyword(s):
Keyword(s):