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Decomposition of the diagonal and applications

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Authors : Totaro, Burt (Author of the conference)
CIRM (Publisher )

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Abstract : Decomposition of the diagonal is a basic method in the theory of algebraic cycles. The method relates the birational geometry of a variety to properties of the Chow groups. One recent application is that the Chow ring of a finite group can depend nontrivially on the base field, even for fields containing the algebraic closure of $Q$. Another application is that a very general complex hypersurface in $P^{n+1}$ of degree at least about 2n/3 is not stably rational.

MSC Codes :
14C15 - (Equivariant) Chow groups and rings; motives
14C25 - Algebraic cycles

    Information on the Video

    Language : English
    Available date : 29/09/2015
    Conference Date : 01/09/2015
    Subseries : Research talks
    arXiv category : Algebraic Geometry
    Mathematical Area(s) : Algebraic & Complex Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 01:02:45
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-09-01_Totaro.mp4

Information on the Event

Event Title : Cohomological Methods in the Theory of Algebraic Groups
Event Organizers : Calmes, Baptiste ; Chernousov, Vladimir ; Karpenko, Nikita
Dates : 31/08/2015 - 04/09/2015
Event Year : 2015
Event URL : http://conferences.cirm-math.fr/1001.html

Citation Data

DOI : 10.24350/CIRM.V.18824703
Cite this video as: Totaro, Burt (2015). Decomposition of the diagonal and applications. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18824703
URI : http://dx.doi.org/10.24350/CIRM.V.18824703

Bibliography



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