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This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning non-abelian aspects This volume contains both original research articles as well as articles that contain both new research as well as survey some of these recent developments.

Number theory --- Geometry --- landmeetkunde --- getallenleer --- Hodge theory. --- p-adic analysis. --- Anàlisi p-àdica --- Teoria de Hodge