## Notes on p-adic Hodge theory

Posted by Andreas Holmstrom on October 15, 2009

For a long time I have been looking for a sensible introduction to p-adic Hodge theory, and I think I might finally have found one: these lecture notes of Conrad and Brinon, an expanded but still prelimary set of notes based on their CMI summer school lectures earlier this year. Thanks to David Brown for pointing out these notes on Math Overflow, as part of an answer to a question about models.

A much shorter survey is Berger: An introduction to the theory of p-adic representations, but Conrad and Brinon give a lot more background, which seems very helpful.

## David Brown said

One more piece of advice from someone who recently learned p-adic hodge theory: from my experience I think a good first task is to understand how p-divisible groups fit into the picture — I explained a little of this at mathoverflow, but B&C’s notes have a lot of very clear information about this and citations to the literature.

## Thomas said

This new version of

Gabber/Ramero’s booklooks helpfull too, e.g. including “a treatise on the foundations of logarithmic algebraic geometry”.