Algebraic and Arithmetic Geometry Seminar

Duality for motivic cohomology over local fields

by Thomas Geisser (Rikkyo University)

Europe/Rome
Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica

Description

We give an outline of a (conjectural) construction of a cohomology theory for smooth and proper varieties over local fields with values in locally compact groups, satisfying a Pontrjagin duality. For certain weights, we give an ad hoc construction which satisfies such a duality unconditionally.