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 geometry

Reference：

Laurent Fargues and Jean-Marc Fontaine. Courbes et fibrés vectoriels en théorie de Hodge p-adique. Astérisque (406).

Jean-François Dat, Sascha Orlik, and Michael Rapoport. Period Domains over Finite and p-adic Fields. Cambridge Tracts in Mathematics (183).