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Showing 1 to 5 of 5 for “"Chromatic homotopy theory"”.

  1. Unstable chromatic homotopy theory

    In this thesis, I study unstable homotopy theory with chromatic methods. Using the v, self maps provided by the Hopkins-Smith periodicity theorem, we can decompose the unstable homotopy groups of a space into its periodic parts, except some lower stems. For fixed n, using the Bousfield-Kuhn functor …

    mit Repository record for Unstable chromatic homotopy theory (opens in a new tab)

  2. Chromatic homotopy theory in HF_p based synthetic spectra

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms

    uiuc Repository record for Chromatic homotopy theory in HF_p based synthetic spectra (opens in a new tab)

  3. L-functions and J-spectra

    … and the J-homomorphism is an important topic in chromatic homotopy theory at height 1. Both sides are related to the special values of the Riemann ζ-function. Number theorists have studied the twistings of the Riemann ζ-functions and Eisenstein series by Dirichlet characters. We first explain …

    uiuc Repository record for L-functions and J-spectra (opens in a new tab)

  4. Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers

    Chromatic localization can be seen as a way to calculate a particular infinite piece of the homotopy of a spectrum. For example, the (finite) chromatic localization of a p-local sphere is its rationalization, and the corresponding chromatic localization of its Adams E2 page recovers just the …

    mit Repository record for Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers (opens in a new tab)

  5. The G-actions on the Brauer groups of Lubin-Tate spectra

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms

    uiuc Repository record for The G-actions on the Brauer groups of Lubin-Tate spectra (opens in a new tab)