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Number Theory Seminar
Seminar information archive ～09/19｜Next seminar｜Future seminars 09/20～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2023/07/05
17:00-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)
Thomas Geisser (Rikkyo University)
Duality for motivic cohomology over local fields and applications to class field theory. (English)
Thomas Geisser (Rikkyo University)
Duality for motivic cohomology over local fields and applications to class field theory. (English)
[ Abstract ]
We give an outline a (conjectural) construction of cohomology groups for smooth and proper varieties over local fields with values in the heart of the derived category of locally compact groups.
This theory should satisfy a Pontrjagin duality theorem, and for certain weights, we give an ad hoc construction which satisfies such a duality unconditionally.
As an application we discuss class field theory for smooth and proper varieties over local fields.
We give an outline a (conjectural) construction of cohomology groups for smooth and proper varieties over local fields with values in the heart of the derived category of locally compact groups.
This theory should satisfy a Pontrjagin duality theorem, and for certain weights, we give an ad hoc construction which satisfies such a duality unconditionally.
As an application we discuss class field theory for smooth and proper varieties over local fields.
