4 papers
A note on weight filtrations at the characteristic
Toni Annala, Piotr PstrÄ gowski
We show that $\kgl$-linear cohomology theories over an affine Dedekind scheme admit a canonical weight filtration on resolvable motives without inverting residual characteristi…
Spectral weight filtrations
Peter J. Haine, Piotr PstrÄ gowski
We provide a description of Voevodsky's -category of motivic spectra in terms of the subcategory of motives of smooth proper varieties. As applications, we construct weight…
Quivers and the Adams spectral sequence
Robert Burklund, Piotr PstrÄ gowski
In this paper, we describe a novel way of identifying Adams spectral sequence -terms in terms of homological algebra of quiver representations. Our method applies much more br…
The monochromatic Hahn-Wilson conjecture
David Jongwon Lee, Piotr PstrÄ gowski
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…