Skip to content

NAG

Seminar

Weights and Hasse principles for higher-dimensional fields

Jannsen, U (Regensburg)
Tuesday 15 December 2009, 10:00-11:00

Seminar Room 1, Newton Institute

Abstract

We present a Hasse principle for higher-dimensional fields which proves a conjecture of K. Kato. In addition to earlier results we also treat the case of p-torsion in positive characteristic p, asssuming resolution of singularities. Due to recent results on resolution we obtain unconditional results for low dimension. The principal tool is the consideration of weights on cohomology, as initiated in Deligne's proof of the Weil conjectures. The consideration of these weights is less standard for p-torsion in characteistic p.

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧