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Thomas Geisser (Rikkyo University Tokyo): Duality for motivic cohomology over local fields and applications to class field theory

October 29 at 13:3015:00 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.

Details

Date:
October 29
Time:
13:30 – 15:00 CEST

Organizer

Alexander Schmidt

Venue

Heidelberg, Mathematikon, SR A