5 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…
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…
Motivic Steenrod operations at the characteristic via infinite ramification
Toni Annala, Elden Elmanto
We construct motivic power operations on the mod- motivic cohomology of $\Fb_p$-schemes using a motivic refinement of NizioÅ's theorem. The key input is a purity theorem for mo…
Motivic Steenrod problem away from the characteristic
Toni Annala, Tobias Shin
In topology, the Steenrod problem asks whether every singular homology class is the pushforward of the fundamental class of a closed oriented manifold. Here, we introduce an analog…
Motivic spectra and universality of -theory
Toni Annala, Ryomei Iwasa
We develop a theory of motivic spectra in a broad generality; in particular -homotopy invariance is not assumed. As an application, we prove that -theory of scheme…