activity
20112021
most citedÉtale Homotopy Obstructions of Arithmetic Spheres

4 citations · 7 across the 6 of their papers we have counts for

collaborators

14 papers

math.AT2021

Evaluation maps and transfers for free loop spaces II

Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton

In our previous paper, we constructed and studied a functorial extension of the evaluation map to transfers along finite covers. In this paper, we s…

math.AT2021

Evaluation maps and transfers for free loop spaces I

Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton

We construct and study a functorial extension of the evaluation map to transfers along finite covers. For finite covers of classifying spaces of fi…

math.AT2021

Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra

Gregory Arone, Ilan Barnea, Tomer M. Schlank

In a companion paper [ABS1] we introduced the stable -category of noncommutative CW-spectra, which we denoted . Let denote the full spectrally e…

math.AT2021

Noncommutative CW-spectra as enriched presheaves on matrix algebras

Gregory Arone, Ilan Barnea, Tomer M. Schlank

Motivated by the philosophy that -algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of -algebras. We focus on…

math.AT2020

Ambidexterity and Height

Shachar Carmeli, Tomer M. Schlank, Lior Yanovski

We introduce and study the notion of \emph{semiadditive height} for higher semiadditive -categories, which generalizes the chromatic height. We show that the higher semiadd…

math.NT20203 cited

Brauer and Etale Homotopy Obstructions to Rational Points on Open Covers

David Corwin, Tomer Schlank

In 2010, Poonen gave the first example of failure of the local-global principle that cannot be explained by Skorobogatov's étale Brauer-Manin obstruction. Motivated by this example…