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Homogeneous spaces, algebraic K-theory and cohomological dimension of fields

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Diego Izquierdo
École Normale Supérieure Paris/MPIM
Wed, 2019-03-20 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In 1986, Kato and Kuzumaki stated a set of conjectures which aimed at giving a Diophantine characterization of the cohomological dimension of fields in terms of Milnor K-theory and points on projective hypersurfaces of small degree. Those conjectures are known to be wrong in general.
In this talk, we will prove a variant of Kato and Kuzumaki's conjectures in which projective hypersurfaces of small degree are replaced by homogeneous spaces. This is joint work with Giancarlo Lucchini Arteche.

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