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Explore the cutting-edge developments in non-abelian p-adic Hodge theory and locally analytic representations of p-adic groups in this advanced mathematics lecture. Delve into the emergence of new geometric objects associated with rigid analytic spaces that transcend the formalism of diamonds. Discover how these objects are naturally defined within the analytic geometry framework developed by Clausen-Scholze. Learn about the ongoing joint project with Anschütz, Rodriguez Camargo, and Scholze, as presented by Arthur-César Le Bras from CNRS, Université de Strasbourg. Gain insights into the intricate connections between p-adic Hodge theory, rigid analytic spaces, and advanced mathematical concepts in this 1-hour 14-minute talk delivered at the Institut des Hautes Etudes Scientifiques (IHES).
