@article{BHN22,
  author = {Barthel, Tobias and Heard, Drew and Naumann, Niko},
  title = {On conjectures of {Hovey--Strickland} and {Chai}},
  journal = {Selecta Mathematica. New Series},
  volume = {28},
  number = {3},
  year = {2022},
  pages = {Paper No. 56, 31},
  doi = {10.1007/s00029-022-00766-2},
  url = {https://link.springer.com/content/pdf/10.1007/s00029-022-00766-2.pdf}
}

@book{Demazure72,
  author = {Demazure, Michel},
  title = {Lectures on {$p$}-Divisible Groups},
  series = {Lecture Notes in Mathematics},
  volume = {302},
  publisher = {Springer-Verlag},
  address = {Berlin--New York},
  year = {1972},
  doi = {10.1007/BFb0060741}
}

@misc{FS21,
  author = {Fargues, Laurent and Scholze, Peter},
  title = {Geometrization of the local {Langlands} correspondence},
  year = {2021},
  eprint = {2102.13459v1},
  archivePrefix = {arXiv},
  primaryClass = {math.RT},
  url = {https://arxiv.org/abs/2102.13459v1},
  note = {\href{https://arxiv.org/abs/2102.13459v1}{arXiv:2102.13459v1}; numbered references use the 348-page version of 26 February 2021}
}

@article{GH94,
  author = {Hopkins, Michael J. and Gross, Benedict H.},
  title = {The rigid analytic period mapping, {{\mbox{Lubin--Tate}}} space, and stable homotopy theory},
  journal = {Bulletin of the American Mathematical Society. New Series},
  volume = {30},
  number = {1},
  pages = {76--86},
  year = {1994},
  doi = {10.1090/S0273-0979-1994-00438-0},
  url = {https://arxiv.org/abs/math/9401220v1}
}

@book{Hazewinkel78,
  author = {Hazewinkel, Michiel},
  title = {Formal Groups and Applications},
  series = {Pure and Applied Mathematics},
  volume = {78},
  publisher = {Academic Press},
  address = {New York--San Francisco--London},
  year = {1978},
  isbn = {9780123351500},
  url = {https://ir.cwi.nl/pub/10033}
}

@article{HopkinsSmith98,
  author = {Hopkins, Michael J. and Smith, Jeffrey H.},
  title = {Nilpotence and stable homotopy theory {II}},
  journal = {Annals of Mathematics. Second Series},
  volume = {148},
  number = {1},
  pages = {1--49},
  year = {1998},
  doi = {10.2307/120991},
  url = {https://annals.math.princeton.edu/articles/12974}
}

@article{HS99,
  author = {Hovey, Mark and Strickland, Neil P.},
  title = {Morava {$K$}-theories and localisation},
  journal = {Memoirs of the American Mathematical Society},
  volume = {139},
  number = {666},
  pages = {viii+100},
  year = {1999},
  doi = {10.1090/memo/0666}
}

@article{Lau08,
  author = {Lau, Eike},
  title = {Tate modules of universal {$p$}-divisible groups},
  journal = {Compositio Mathematica},
  volume = {146},
  number = {1},
  pages = {220--232},
  year = {2010},
  doi = {10.1112/S0010437X09004242},
  url = {https://arxiv.org/abs/0803.1390}
}

@article{LeBras18,
  author = {Le Bras, Arthur-C{\'e}sar},
  title = {Espaces de {Banach--Colmez} et faisceaux coh{\'e}rents sur la courbe de {Fargues--Fontaine}},
  journal = {Duke Mathematical Journal},
  volume = {167},
  number = {18},
  pages = {3455--3532},
  year = {2018},
  doi = {10.1215/00127094-2018-0034},
  url = {https://arxiv.org/abs/1801.00422v1},
  note = {Numbering and page references follow arXiv:1801.00422v1, 47 pp.}
}

@article{LP26,
  author = {Lee, David Jongwon and Pstr{\k a}gowski, Piotr},
  title = {The monochromatic {Hahn--Wilson} conjecture},
  journal = {Inventiones Mathematicae},
  year = {2026},
  doi = {10.1007/s00222-026-01448-y},
  url = {https://link.springer.com/article/10.1007/s00222-026-01448-y},
  note = {Published online 7 September 2026}
}

@article{LT66,
  author = {Lubin, Jonathan and Tate, John},
  title = {Formal moduli for one-parameter formal {Lie} groups},
  journal = {Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France},
  volume = {94},
  pages = {49--59},
  year = {1966},
  doi = {10.24033/bsmf.1633},
  url = {https://www.numdam.org/item/BSMF_1966__94__49_0/}
}

@article{BalmerSanders,
  author = {Balmer, Paul and Sanders, Beren},
  title = {The {Tate} Intermediate Value Theorem},
  journal = {Advances in Mathematics},
  volume = {483},
  pages = {Paper No. 110675, 43},
  year = {2025},
  doi = {10.1016/j.aim.2025.110675},
  url = {https://www.math.ucla.edu/~balmer/Pubfile/TIV.pdf},
  note = {Numbering follows the author version dated 20 August 2025}
}

@article{Balmer18,
  author = {Balmer, Paul},
  title = {On the surjectivity of the map of spectra associated to a tensor-triangulated functor},
  journal = {Bulletin of the London Mathematical Society},
  volume = {50}, number = {3}, year = {2018}, pages = {487--495},
  doi = {10.1112/blms.12158}
}
@article{Balmer05,
  author = {Balmer, Paul},
  title = {The spectrum of prime ideals in tensor triangulated categories},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik},
  volume = {588}, year = {2005}, pages = {149--168},
  doi = {10.1515/crll.2005.2005.588.149},
  url = {https://arxiv.org/abs/math/0409360}
}
@article{DellAmbrogioStanley16,
  author = {Dell'Ambrogio, Ivo and Stanley, Donald},
  title = {Affine weakly regular tensor triangulated categories},
  journal = {Pacific Journal of Mathematics},
  volume = {285}, number = {1}, year = {2016}, pages = {93--109},
  doi = {10.2140/pjm.2016.285.93},
  url = {https://arxiv.org/abs/1511.02395}
}
@book{FF18,
  author = {Fargues, Laurent and Fontaine, Jean-Marc},
  title = {Courbes et fibr{\'e}s vectoriels en th{\'e}orie de {Hodge} $p$-adique},
  series = {Ast{\'e}risque}, number = {406},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France}, year = {2018},
  doi = {10.24033/ast.1056}
}
@incollection{Illusie85,
  author = {Illusie, Luc},
  title = {D{\'e}formations de groupes de {Barsotti--Tate}},
  booktitle = {S{\'e}minaire sur les pinceaux arithm{\'e}tiques : la conjecture de {Mordell}},
  series = {Ast{\'e}risque}, number = {127}, year = {1985}, pages = {151--198},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France},
  url = {https://numdam.org/item/AST_1985__127__151_0/}
}
@article{LT65,
  author = {Lubin, Jonathan and Tate, John},
  title = {Formal complex multiplication in local fields},
  journal = {Annals of Mathematics}, series = {2},
  volume = {81}, number = {2}, year = {1965}, pages = {380--387},
  doi = {10.2307/1970622}
}
@article{Mathew16,
  author = {Mathew, Akhil},
  title = {The {Galois} group of a stable homotopy theory},
  journal = {Advances in Mathematics}, volume = {291}, year = {2016},
  pages = {403--541}, doi = {10.1016/j.aim.2015.12.017}
}
@misc{Stacks,
  author = {{The Stacks Project Authors}},
  title = {The {Stacks Project}}, year = {2026},
  url = {https://stacks.math.columbia.edu},
  note = {Tags 00IP, 00KQ, and 00KD; accessed September 24, 2026}
}
@incollection{Tate67,
  author = {Tate, John T.},
  title = {$p$-Divisible Groups},
  editor = {Springer, T. A.},
  booktitle = {Proceedings of a Conference on Local Fields},
  publisher = {Springer}, address = {Berlin, Heidelberg},
  year = {1967}, pages = {158--183},
  doi = {10.1007/978-3-642-87942-5_12}
}

@article{Chai96,
  author = {Chai, Ching-Li},
  title = {The group action on the closed fiber of the {Lubin--Tate} moduli space},
  journal = {Duke Mathematical Journal},
  volume = {82}, number = {3}, year = {1996}, pages = {725--754},
  doi = {10.1215/S0012-7094-96-08230-7}
}

@incollection{HG94Bundles,
  author = {Hopkins, Michael J. and Gross, Benedict H.},
  title = {Equivariant vector bundles on the {Lubin--Tate} moduli space},
  booktitle = {Topology and representation theory},
  series = {Contemporary Mathematics}, volume = {158},
  publisher = {American Mathematical Society},
  year = {1994}, pages = {23--88},
  doi = {10.1090/conm/158/01453}
}

@article{Chai08,
  author = {Chai, Ching-Li},
  title = {A rigidity result for {$p$}-divisible formal groups},
  journal = {Asian Journal of Mathematics},
  volume = {12}, number = {2}, year = {2008}, pages = {193--202},
  doi = {10.4310/AJM.2008.v12.n2.a3}
}