3 papers
math.AT2026
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…
math.AT2024
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…
math.AT2022
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…