Following our two courses at the Centre Émile Borel of the I.H.P. during the Semestre p-adique of 1997, we present a survey of the Fontaine-Laffaille and Fontaine-Messing theories and (with more details) of their extension by one of us to the semi-stable setting. We also very quickly discuss some ℓ-adic analogues of Nakayama. We take advantage to include a few proofs which are not in the literature and raise several remaining open questions.
|Original language||English (US)|
|Number of pages||44|
|State||Published - Dec 1 2002|
- Crystalline cohomology
- Semi-stable reduction
- Syntomic site
- Étale cohomology