3 papers
math.KT2025
A note on weight filtrations at the characteristic
Toni Annala, Piotr Pstrągowski
We show that $\kgl$-linear cohomology theories over an affine Dedekind scheme admit a canonical weight filtration on resolvable motives without inverting residual characteristi…
math.AG2023
Spectral weight filtrations
Peter J. Haine, Piotr Pstrągowski
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…
math.AT2023
Quivers and the Adams spectral sequence
Robert Burklund, Piotr Pstrągowski
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…