SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS

DOI10.1017/fms.2016.27zbMath1417.11099arXiv1603.07708OpenAlexW2309733050WikidataQ56998253 ScholiaQ56998253MaRDI QIDQ2971042

Fred Diamond, Lassina Dembélé, David P. Roberts

Publication date: 4 April 2017

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07708

zbMATH Keywords

\(p\)-adic Hodge theorywild ramificationSerre weights

Mathematics Subject Classification ID

Galois cohomology (11S25) Galois representations (11F80) Ramification and extension theory (11S15)

Related Items (6)

Explicit Serre weights for two-dimensional Galois representations over a ramified base ⋮ General Serre weight conjectures ⋮ A Serre weight conjecture for geometric Hilbert modular forms in characteristic \(p\) ⋮ Computing septic number fields ⋮ Explicit Serre weights for two-dimensional Galois representations ⋮ Frobenius elements in Galois representations with \(\mathrm{SL}_{n}\) image

Cites Work

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• Automorphic lifts of prescribed types
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• On a problem of local-global compatibility modulo \(p\) for \(\mathrm{GL}_2\) (with an Appendix of Lassina Dembélé)
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• The Buzzard–Diamond–Jarvis conjecture for unitary groups
• Serre weights and Shimura curves
• THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS

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