Transchromatic phenomena in the equivariant slice spectral sequence

Published 1 Mar 2024 in math.AT | (2403.00741v1)

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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