Geometric Aspects of the p-adic Locally Analytic Langlands Program

Explore the geometric aspects of the $p$-adic locally analytic Langlands program in this advanced mathematical lecture delivered by Arthur-César Le Bras from Université de Strasbourg. Delve into the geometrization of the $p$-adic Langlands program, specifically focusing on locally analytic representations on topological $\mathbb{Q}_p$-vector spaces. Examine the "automorphic" side of this mathematical framework, learning how to realize locally analytic representations as sheaves on variants of the Fargues-Scholze stack of $G$-bundles on the Fargue-Fontaine curve. Discover insights from joint research work with Anschütz, Rodriguez Camargo, and Scholze that advances understanding of this sophisticated area of algebraic number theory and representation theory. Gain exposure to cutting-edge developments in $p$-adic geometry and its applications to the Langlands program, presented at the prestigious Institut des Hautes Etudes Scientifiques (IHES).