  We prove a mixed characteristic analog of the Beilinson-Lichtenbaum
Conjecture for p-adic motivic cohomology. It gives a description, in the stable
range, of p-adic motivic cohomology (defined using algebraic cycles) in terms
of differential forms. This generalizes a result of Geisser from small Tate
twists to all twists and uses as a critical new ingredient the comparison
theorem between syntomic complexes and p-adic nearby cycles proved recently in
Colmez-Niziol.
