Explore a mathematical lecture that delves into the generalization of a theorem on the existence of Frobenius isocrystal and Fontaine-Laffaille module structures on rigid flat connections in non-proper settings. Discover a new proof strategy with a point-set topological approach, which produces a purely p-adic statement and avoids complex-analytic methods. Learn about this joint work by Hélène Esnault from Frei Universität Berlin and Michael Groechenig, presented at the Institut des Hautes Etudes Scientifiques (IHES). Gain insights into advanced topics in algebraic geometry and number theory during this hour-long presentation.