T. Barthel

activity

20162022

most citedStratifying integral representations via equivariant homotopy theory

1 citations · 1 across the 4 of their papers we have counts for

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12 papers · 1 filter

math.AT2022

The Chromatic Fourier Transform

Tobias Barthel, Shachar Carmeli, Tomer M. Schlank +1

We develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height $n = 0$ , as well…

math.AT2022★ 1 cited

Stratifying integral representations via equivariant homotopy theory

Tobias Barthel

We prove that the derived category of $R$ -linear representations of a finite group $G$ is stratified for any regular commutative ring $R$ . As an application, we obtain a classifica…

math.AT2020

Transfer ideals and torsion in the Morava $E$ -theory of abelian groups

Tobias Barthel, Nathaniel Stapleton

Let $A$ be a finite abelian $p$ group of rank at least $2$ . We show that $E^{0} (B A) / I_{t r}$ , the quotient of the Morava $E$ -cohomology of $A$ by the ideal generated by the image of t…

math.AT2020

Local Gorenstein duality for cochains on spaces

Tobias Barthel, Natalia Castellana, Drew Heard +1

We investigate when a commutative ring spectrum $R$ satisfies a homotopical version of local Gorenstein duality, extending the notion previously studied by Greenlees. In order to d…

math.AT2019

Monochromatic homotopy theory is asymptotically algebraic

Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton

In previous work, we used an $\infty$ -categorical version of ultraproducts to show that, for a fixed height $n$ , the symmetric monoidal $\infty$ -categories of $E_{n, p}$ -local spect…