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arXiv · 2403.00741

Transchromatic phenomena in the equivariant slice spectral sequence

Lennart Meier·XiaoLin Danny Shi·Mingcong Zeng
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Abstract

In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectral sequences of height-$h$ and height-$(h/2)$ theories. As applications of this transchromatic phenomenon, we prove periodicity and vanishing line results for these theories.

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Lennart Meier, XiaoLin Danny Shi, Mingcong Zeng. 2024-03-01. Transchromatic phenomena in the equivariant slice spectral sequence. https://arxiv.org/abs/2403.00741

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