p-adic Hodge Theory
Fontaine's theory, prismatic cohomology, and crystalline representations.
p-adic Hodge Theory. Fontaine’s theory, prismatic cohomology, and crystalline representations.
Foundations and canonical references
The standard treatments of p-adic hodge theory approach the subject from complementary angles. Brinon, An Introduction to p-adic Hodge Theory (2009) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for p-adic hodge theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2009An Introduction to p-adic Hodge Theorybrinon-2009, conrad-2009
In context
Where this topic sits in the prerequisite graph. Click any node to jump.
Review this topic
This page was drafted by an agent and is waiting on expert review. Spotted a wrong prerequisite, a missing concept, a misattributed source, or a factual slip? Tell us — your review opens a tracked issue maintainers act on.