46 citations · 350 across the 36 of their papers we have counts for
44 papers
Lattices over finite group schemes and stratification
Tobias Barthel, Dave Benson, Srikanth B. Iyengar +2
This work concerns representations of a finite flat group scheme , defined over a noetherian commutative ring . The focus is on lattices, namely, finitely generated -modul…
Descent in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +3
We investigate to what extent we can descend the classification of localizing, smashing and thick ideals in a presentably symmetric monoidal stable -category …
On surjectivity in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +1
We prove that a jointly conservative family of geometric functors between rigidly-compactly generated tensor triangulated categories induces a surjective map on Balmer spectra. Fro…
Cosupport in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +1
We develop a theory of cosupport and costratification in tensor triangular geometry. We study the geometric relationship between support and cosupport, provide a conceptual foundat…
Quillen stratification in equivariant homotopy theory
Tobias Barthel, Natalia Castellana, Drew Heard +2
We prove a version of Quillen's stratification theorem in equivariant homotopy theory for a finite group , generalizing the classical theorem in two directions. Firstly, we work…
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 , as well…