Current Notions Seminar: p-adic motivic complexes in characteristic p


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February 11, 2020 11:00 am - 12:30 pm
Science Center 232

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.