5 citations · 8 across the 7 of their papers we have counts for
8 papers
On the circle-equivariant cellular Tate filtration
Toni Annala, Piotr Pstrągowski
Using an argument of Jacob Lurie, we prove the existence of a E_2-lax monoidal structure on the Tate filtration coming from the standard cell structure on the infinite complex proj…
The monochromatic Hahn-Wilson conjecture
David Jongwon Lee, Piotr Pstrągowski
We prove the -local analogue of the Hahn-Wilson conjecture on fp-spectra, which states that the truncated Brown-Peterson spectra generate the category of fp-spectra as a thic…
Perfect even modules and the even filtration
Piotr Pstrągowski
Inspired by the work of Hahn-Raksit-Wilson, we introduce a variant of the even filtration which is naturally defined on -rings and their modules. We show that our v…
Dirac geometry II: Coherent cohomology
Lars Hesselholt, Piotr Pstragowski
Whatever it is that animates anima and breathes life into higher algebra, this something leaves its trace in the structure of a Dirac ring on the homotopy groups of a commutative a…
Dirac geometry I: Commutative algebra
Lars Hesselholt, Piotr Pstragowski
The homotopy groups of a commutative algebra in spectra form a commutative algebra in the symmetric monoidal category of graded abelian groups. The grading and the Koszul sign rule…
Adams-type maps are not stable under composition
Robert Burklund, Ishan Levy, Piotr Pstrągowski
We give a simple counterexample to the plausible conjecture that Adams-type maps of ring spectra are stable under composition. We then show that over a field, this failure is quite…
Morava K-theory and Filtrations by Powers
Tobias Barthel, Piotr Pstrągowski
We prove the convergence of the Adams spectral sequence based on Morava K-theory and relate it to the filtration by powers of the maximal ideal in the Lubin-Tate ring through a Mil…
Synthetic spectra and the cellular motivic category
Piotr Pstrągowski
To an Adams-type homology theory we associate a notion of a synthetic spectrum, this is a product-preserving sheaf on the site of finite spectra with projective -homology. We pr…