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Appears in collection : Rational points on irrational varieties

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, I will prove a variant of Kato and Kuzumaki’s conjectures in which projective hypersurfaces of small degree are replaced by homogeneous spaces. This isjoint work with Giancarlo Lucchini Arteche.

Information about the video

  • Date of recording 24/06/2019
  • Date of publication 04/07/2019
  • Institution IHP
  • Language English
  • Format MP4
  • Venue Institut Henri Poincaré

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