2 problems

Motivic filtration conjecture. The spectrum $\mathrm{TP}(R/X(p))$ admits a motivic filtration satisfying

Let $K$ be a $p$-adic field with ring of integers $\mathcal{O}_K$, residue field $k$, completed algebraic closure $\mathcal{C}$, Witt vectors $W$, and crystalline period ring…