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20102026
most citedA May-type spectral sequence for higher topological Hochschild homology

11 citations · 36 across the 37 of their papers we have counts for

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Showing 2023 · math.ATShow all

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math.AT2023

Ravenel's May spectral sequence collapses immediately at large primes

A. Salch

At large primes, the height Ravenel-May spectral sequence takes as input the cohomology of a certain solvable Lie -algebra, and produces as output the mod coh…

math.AT2023

ell-adic topological Jacquet-Langlands duality

Andrew Salch, Matthias Strauch

We embed the Lubin-Tate tower into a larger tower of formal schemes, the "degenerating Lubin-Tate tower." We construct a topological realization of the degenerating Lubin-Tate towe…

math.AT2023

KU-local zeta-functions of finite CW-complexes

A. Salch

Begin with the Hasse-Weil zeta-function of a smooth projective variety over the rational numbers. Replace the variety with a finite CW-complex, replace etale cohomology with comple…

math.AT2023

The Steenrod algebra is self-injective, and the Steenrod algebra is not self-injective

A. Salch

It is well-known that the Steenrod algebra is self-injective as a graded ring. We make the observation that simply changing the grading on can make it cease to be self-inje…

math.AT2023

Denominators of special values of zeta-functions count KU-local homotopy groups of mod p Moore spectra

A. Salch

In this note, for each odd prime , we show that the orders of the -local homotopy groups of the mod Moore spectrum are equal to denominators of special values of certain…

math.AT2023

Derived functors of product and limit in the category of comodules over the dual Steenrod algebra

A. Salch

In the 2000s, Sadofsky constructed a spectral sequence which converges to the mod homology groups of a homotopy limit of a sequence of spectra. The input for this spectral sequ…