Sreekantan regulator factorization conjecture

Let $X$ be a variety over a local field $K$ with semistable reduction, and let $\hmot(X,k+1,r)_0$ be the relevant subgroup of motivic cohomology. Consider the composition

$$\hmot(X,k+1,r)_0\xrightarrow{\operatorname{reg}}H_{\mathrm{st}}^1\left(K,H_{\mathrm{\acute et}}^k(X\otimes_K\overline{K},\mathbb{Q}_p(r))\right)\longrightarrow H^1\left(C_{\mathrm{st}}^{\bullet\prime}\left(H_{\mathrm{\acute et}}^k(X\otimes_K\overline{K},\mathbb{Q}_p(r))\right)\right).$$

Sreekantan regulator factorization conjecture. This composition factors via the Sreekantan regulator.

The conjecture is motivated by the relationship among the toric, syntomic, and Sreekantan regulators and does not require reduction hypotheses beyond semistability. No resolution is given in the source.