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3
votes
Crystalline analogue of perverse sheaves
Your question seems to contain an implicit assumption that analogues are unique. It is not clear to me that for any choice of formalism you will get precise analogues of all the theorems you see in t …
9
votes
Accepted
What is the current state of the crystalline analogue of the Weil conjectures?
As far as I can tell, Kedlaya solved it 12 years ago.
19
votes
learning crystalline cohomology
If you're just looking for a quick overview, you may want to read the lecture notes from the 2009 MIT K-theory lunch seminar, especially the first five lectures