From crystalline to unitary representations

DOI10.1090/conm/691/13901zbMath1394.22017OpenAlexW4238624441MaRDI QIDQ4635113

Enno Nagel

Publication date: 13 April 2018

Published in: Around Langlands Correspondences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/691/13901

zbMATH Keywords

Galois groupunitary representationsAmice transformcrystalline representations\(p\)-adic Langlands programSchikhof duality

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Geometric Langlands program: representation-theoretic aspects (22E57)

Cites Work

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• \(p\)-adic representations and differential equations
• A perfect duality between \(p\)-adic Banach spaces and compactoids
• Construction of semi-stable \(p\)-adic representations
• An alternative to Witt vectors
• Représentations cristallines et représentations de hauteur finie
• Limites de représentations cristallines
• Représentations $p$-adiques potentiellement cristallines
• First steps towards p-adic Langlands functoriality

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