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Thomas Geisser (Rikkyo University Tokyo): Duality for motivic cohomology over local fields and applications to class field theory
October 29, 2021 at 13:30 – 15:00 CEST
We give an outline of a (conjectural) construction of cohomology groups for smooth and proper varieties over local fields with values in the derived category of locally compact groups satisfying a Pontryagin duality.
For certain weights, we give an ad hoc construction which satisfies such a duality unconditionally. We then explain how this leads to good class field theory for smooth and proper varieties and relate it to known results.