Affinoids in the Lubin–Tate Perfectoid Space and Simple Supercuspidal Representations I: Tame Case

DOI10.1093/imrn/rny229zbMath1469.11149arXiv1308.1276OpenAlexW2786840723WikidataQ129238336 ScholiaQ129238336MaRDI QIDQ5854221

Takahiro Tsushima, Naoki Imai

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1276

zbMATH Keywords

supercuspidal representationsArtin-Schreier varietiesLubin-Tate perfectoid space

Mathematics Subject Classification ID

Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Class field theory; (p)-adic formal groups (11S31) Automorphic forms and their relations with perfectoid spaces (11F77) Perfectoid spaces and mixed characteristic (14G45)

Related Items (8)

Geometric realization of the local Langlands correspondence for representations of conductor three ⋮ Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I. ⋮ Local Galois representations of Swan conductor one ⋮ STABLE MODELS OF LUBIN–TATE CURVES WITH LEVEL THREE ⋮ Affinoids in Lubin-Tate surfaces with exponential full level two ⋮ Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations. II: Wild case ⋮ Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. II ⋮ Affinoids in the Lubin-Tate perfectoid space and special cases of the local Langlands correspondence

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