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Decomposition of the diagonal and applications
Multi angle
Authors : Totaro, Burt (Author of the conference)
CIRM (Publisher )
14C15 - (Equivariant) Chow groups and rings; motives
14C25 - Algebraic cycles
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
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : 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 
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Information on the Event
Event Title : Cohomological Methods in the Theory of Algebraic GroupsEvent 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.18824703Cite 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 |
See Also
- [Post-edited] $H^{3}$ non ramifié et cycles de codimension 2 / Author of the conference Colliot-Thélène, Jean-Louis.
- [Multi angle] The rational motivic sphere spectrum and motivic Serre finiteness / Author of the conference Levine, Marc.
- [Multi angle] On examples of varieties that are not stably rational / Author of the conference Pirutka, Alena.
- [Multi angle] Subtle Stiefel-Whitney classes and the J-invariant of quadrics / Author of the conference Vishik, Alexander.
- [Multi angle] The rationality problem for forms of moduli spaces of stable marked curves / Author of the conference Reichstein, Zinovy.
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