2 problems

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Subsurface-filling distance-growth conjecture for Teichmüller space
Let $S$ be a surface, let $X_0\in\mathcal{T}(S)$ be a base point, and let $\xi,\eta$ be Gardiner–Masur boundary points that fill a subsurface of $S$ . For sequences…
Conjectureopengardiner-masur-compactification metric-geometry teichmuller-theoryarXiv posted 2 days ago
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Jiang–Su conjecture on divergent earthquakes directed by disconnected multicurves
Jiang–Su conjecture. There exist earthquakes directed by disconnected multicurves that do not converge in the Gardiner–Masur compactification.
Conjectureopenearthquakes gardiner-masur-compactification teichmuller-theoryarXiv posted 2 days ago

Subsurface-filling distance-growth conjecture for Teichmüller space