Geodesic
Finiteness properties of the category of mod p representations of ${\textrm {GL}}_2 (\mathbb {Q}_{p})$
Forum of Mathematics, Sigma, Tome 9 (2021)

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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. 
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     author = {Vytautas Pa\v{s}k\={u}nas and Shen-Ning Tung},
     title = {Finiteness properties of the category of mod p representations of ${\textrm {GL}}_2 (\mathbb {Q}_{p})$},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {9},
     year = {2021},
     doi = {10.1017/fms.2021.72},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.72/}
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Vytautas Paškūnas; Shen-Ning Tung. Finiteness properties of the category of mod p representations of ${\textrm {GL}}_2 (\mathbb {Q}_{p})$. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.72

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