PrerequisiteBasic commutative algebra, algebraic geometry, algebraic number theoryAbstractThis course is intended to give a gentle introduction to p-adic families of modular forms and p-adic L-functions. We roughly cover the contents of "The Eigenbook" by Belliache. We will start by introducing a general construction of eigenvariety, and discuss modular symbols and their connection to modular f...
Description:The first half of this course gives a general introduction to p-adic Hodge theory. The second part discusses recent topics, including the Fargues-Fontaine curve and p-adic period domains.Prerequisite:Algebraic number theory and algebraic geometryReference:Laurent Fargues and Jean-Marc Fontaine. Courbes et fibrés vectoriels en théorie de Hodge p-adique. Astérisque (406).Jean-Franç...