Abstract:

I will give an overview of the de Rham comparison isomorphisms for p-adic etale local systems over rigid varieties that are Zariski open in proper smooth rigid varieties, in the context of p-adic Riemann-Hilbert correspondences, which are compatible with the formation of cohomology with (partial) compact supports and with Poincare duality (among such cohomology).  (This is joint work with Ruochuan Liu and Xinwen Zhu.)