Current Notions Seminar: p-adic motivic complexes in characteristic p
Elden Elmanto - Harvard University
Motivic complexes of Voevodsky have no right to two properties (1) cohomological sparsity and (2) a relationship with differential forms. This is, however, true p-adically over characteristic p by a result of Geisser-Levine, relying on previous results of Bloch-Kato-Gabber. I will explain this result, including the cast of characters involved like the logarithmic de Rham-Witt sheaves, Bloch's higher Chow groups and algebraic/Milnor K-theory.