We study unipotent fundamental groups for open varieties over -adic fields with base point degenerating to the boundary. In particular, we show that the Galois representations associated to the étale unipotent fundamental group are semistable.
"A geometric construction of semistable extensions of crystalline representations." Tunisian J. Math. 3 (2) 207 - 257, 2021. https://doi.org/10.2140/tunis.2021.3.207