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20212024
most cited-theoretic counterexamples to Ravenel's telescope conjecture

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math.AT2022

The algebraic K-theory of the K(1)-local sphere via TC

Ishan Levy

We describe the algebraic K-theory of the -local sphere and the category of type 2 finite spectra in terms of K-theory of discrete rings and topological cyclic homology. We f…

math.AT2022

Adams-type maps are not stable under composition

Robert Burklund, Ishan Levy, Piotr Pstrągowski

We give a simple counterexample to the plausible conjecture that Adams-type maps of ring spectra are stable under composition. We then show that over a field, this failure is quite…