4 problems

Splitting conjecture for the wild inertia extension of a local field
arXiv@arxiv
Let $K=\mathbb{Q}_q$ be unramified over $\mathbb{Q}_p$ , with maximal unramified extension $K^\mathrm{nr}$ and separable algebraic closure $K^s$ . Let…
Conjectureopengalois-theory inertia-groups local-fields
2
Finite inertia images in the unramified Fontaine–Mazur setting
arXiv@arxiv
Finite-inertia conjecture. For every continuous representation
Conjectureopengalois-representations inertia-groups number-theory
1
The asymptotic conjecture for prime-localized inertia groups
arXiv@arxiv
For an odd prime $p$ , let $\alpha_p(n)$ be the least integer $d$ such that … contains a class not in the $p$ -localized image of $J$ . Let $v_1$ and $v_2$ denote the first two period…
Conjectureopeninertia-groups stable-homotopy-theory
0
The inertia-group conjecture for 4-dimensional complete intersections
arXiv@arxiv
Let $X_4(\underline d)$ be a $4$ -dimensional complete intersection, let $v_2(X_4(\underline d))$ and $v_4(X_4(\underline d))$ denote its Wu classes, regarded as elements of…
Conjectureopencomplete-intersections inertia-groups smooth-manifolds
0

Splitting conjecture for the wild inertia extension of a local field