Ishan Levy

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20212024

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-theoretic counterexamples to Ravenel's telescope conjecture

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math.AT2023★ 1 cited

$K$ -theoretic counterexamples to Ravenel's telescope conjecture

Robert Burklund, Jeremy Hahn, Ishan Levy +1

At each prime $p$ and height $n + 1 \geq 2$ , we prove that the telescopic and chromatic localizations of spectra differ. Specifically, for $Z$ acting by Adams operations on $…

math.AT2023

Topological Hochschild homology of the image of j

David Jongwon Lee, Ishan Levy

We compute the mod $(p, v_{1})$ and mod $(2, η, v_{1})$ $THH$ of many variants of the image-of- $J$ spectrum. In particular, we do this for $j_{ζ}$ , whose $TC$ is closely r…

math.KT2023

Categorifying reduced rings

Ishan Levy

Given a domain of characteristic zero $R$ , we functorially construct a rigid symmetric monoidal stable $\infty$ -category whose $K_{0}$ is $R$ , solving a problem of Khovanov. We also…

K-theoretic counterexamples to Ravenel's telescope conjecture

Topological Hochschild homology of the image of j

Categorifying reduced rings

$K$ -theoretic counterexamples to Ravenel's telescope conjecture