The global equality between Galois-Gauss and twisted unramified classes

Let $L/K$ be a weakly ramified odd-degree Galois extension of number fields. Let $\mathfrak{a}_{L/K}$ and $\mathfrak{c}_{L/K}$ be the global elements defined in the source. Global equality conjecture. One has

$$\mathfrak{a}_{L/K}=\mathfrak{c}_{L/K}.$$

The conjecture is motivated by numerical computations and its relationship with Vinatier's conjecture and the preceding global results. Its status is not specified in the source.