Seminar on Arithmetic Algebraic Geometry: Syntomic cohomology
 Date

2012112 13:30 
2012112 16:30
 Place
 Faculty of Science Building #3 Room 413

Speaker/Organizer
 Masanori Asakura

 This is an expository talk on syntomic cohomology of Fontaine and
Messing, which is the key tool in the proof of the comparison theorems in padic Hodge theory.
Starting from the definition of syntomic complex, I will explain how to relate etale cohomology to filtered $\phi$module (FontaineMessing theory).
If time permits, I will also explain explicit reciprocity law of Kato.
(I am sorry I cannot explain logsyntomic or rigid syntomic cohomology
because I am a poor mathematician.)