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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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Date Issued:
09.12.2021
DOI:
10.1017/fms.2021.72
URN:
urn:nbn:de:hbz:465-20220720-111330-9
Language:
English
Type of Resource:
Text
Collection:
E-Publications
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
Info on primary publication:

Paškūnas, V., & Tung, S. (2021). Finiteness properties of the category of mod p representations of GL2(Qp). Forum of Mathematics, Sigma, 9, E80. https://doi.org/10.1017/fms.2021.72

Published online by Cambridge University Press:  09 December 2021

version identification:
Version of Record / Verlagsversion
funding:
The publication of this article was supported by the Publication Fund of the University of Duisburg-Essen.

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