2 problems

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Liftability conjecture for non-split metacyclic actions on surfaces
Liftability conjecture. Every non-split metacyclic action on $S_g$ lifts under a suitably chosen finite regular cyclic cover to a split metacyclic action.
Conjectureopencovering-spaces metacyclic-groups surface-actionsarXiv posted 2 days ago
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Effective analytic actions of $ST_\circ(3,\mathbb R)$ on surfaces
Let $ST_\circ(3,\mathbb R)$ denote the relevant connected special triangular Lie group, and let a group action on a surface mean an action by diffeomorphisms. Conjecture.…
Conjectureopenlie-groups surface-actions transformation-groupsarXiv posted 2 days ago

Liftability conjecture for non-split metacyclic actions on surfaces