Integral p-adic non-abelian Hodge theory for small representations

Y Min, Y Wang - Advances in Mathematics, 2024 - Elsevier
Let X be a smooth p-adic formal scheme over OC with rigid generic fiber X. In this paper, we
construct a new integral period sheaf OC ˆ pd+ on X pro e´ t and use it to establish an …

A stacky -adic Riemann--Hilbert correspondence on Hitchin-small locus

Y Liu, C Ma, X Nie, X Qu, Y Wang - arXiv preprint arXiv:2409.08785, 2024 - arxiv.org
Let $ C $ be an algebraically closed perfectoid field over $\mathbb {Q} _p $ with the ring of
integer $\mathcal {O} _C $ and the infinitesimal thickening $\Ainf $. Let $\mathfrak X $ be a …