well, my thesis deadline is in 12 months, so i certainly hope to be done before that... until then, expect monthly progress updates from me on here. see also my website for more technical details https://t.co/4PL9Huvjrp.
does every (kgl-linear) cohomology theory on schemes admit a canonical weight filtration? by recent results of Annala-Pstrągowski (https://t.co/xQ5CIH0bG6), the answer is yes (up to some technicalities). but what does this allow us to do, concretely?
that is exactly what i'm working on for my master's thesis, applying techniques from logarithmic motivic homotopy theory. when can we expect an answer to this?