2019 - T2 - WS2 - Rational points on irrational varieties

Collection 2019 - T2 - WS2 - Rational points on irrational varieties

Organizer(s)

Date(s) 24/06/2019 - 28/06/2019

00:00:00 / 00:00:00

4 19

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

By Diego Izquierdo

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
Licence CC BY-NC-ND
Language English
Format MP4
Venue Institut Henri Poincaré

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MSC codes

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All the collection videos

01:08:27

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

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published on July 4, 2019

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01:10:26

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published on July 4, 2019

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01:03:05

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01:08:30

published on July 4, 2019

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01:04:09

published on July 4, 2019

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01:02:52

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published on July 4, 2019

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published on July 4, 2019

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By Yuri Zarhin

01:06:52

published on July 4, 2019

Resolution in characteristic 0 using weighted blowing up

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