Français
$H^{3}$ non ramifié et cycles de codimension 2
Post-edited
Authors : Colliot-Thélène, Jean-Louis (Author of the conference)
CIRM (Publisher )
14C25 - Algebraic cycles
14C35 - Applications of methods of algebraic $K$-theory [See also 19Exx]
19E15 - Algebraic cycles and motivic cohomology (K-theory)
14E08 - Rationality questions
CIRM (Publisher )
Abstract :
Le troisième groupe de cohomologie non ramifiée d'une variété lisse, à coefficients dans les racines de l'unité tordues deux fois, intervient dans plusieurs articles récents, en particulier en relation avec le groupe de Chow de codimension 2. On fera un tour d'horizon : espaces homogènes de groupes algébriques linéaires; variétés rationnellement connexes sur les complexes; images d'applications cycle sur les complexes, sur un corps fini, sur un corps de nombres.
MSC Codes : 14C25 - Algebraic cycles
14C35 - Applications of methods of algebraic $K$-theory [See also 19Exx]
19E15 - Algebraic cycles and motivic cohomology (K-theory)
14E08 - Rationality questions
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : French Available date : 30/09/2015 Conference Date : 01/09/2015 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Topology ; Algebraic & Complex Geometry Format : QuickTime (.mov) Video Time : 00:55:34 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-09-01_Colliot_Thelene.mp4 
|
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.18825303Cite this video as: Colliot-Thélène, Jean-Louis (2015). $H^{3}$ non ramifié et cycles de codimension 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18825303 URI : http://dx.doi.org/10.24350/CIRM.V.18825303 |
See Also
- [Multi angle] The rational motivic sphere spectrum and motivic Serre finiteness / Author of the conference Levine, Marc.
- [Multi angle] Decomposition of the diagonal and applications / Author of the conference Totaro, Burt.
- [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.
Bibliography
- Blinstein, S., & Merkurjev, A. (2013). Cohomological invariants of algebraic tori. Algebra & Number Theory, 7(7), 1643-1684 - http://dx.doi.org/10.2140/ant.2013.7.1643
- Colliot-Thélène, J.-L. (2015). Descente galoisienne sur le second groupe de Chow : mise au point et applications.
- Colliot-Thélène, J.-L., & Kahn, B. (2013). Cycles de codimension 2 et $H^3$ non ramifié pour les variétés sur les corps finis.
Journal of K-Theory, 11(1), 1-53 - http://dx.doi.org/10.1017/is012009001jkt194 - Colliot-Thélène, J.-L., & Voisin, C. (2012). Cohomologie non ramifiée et conjecture de Hodge entière. Duke Mathematical Journal, 161(5), 735-801 - http://dx.doi.org/10.1215/00127094-1548389
- Harari, D., Scheiderer, C., & Szamuely, T. (2015). Weak approximation for tori over $p$-adic function fields. International Mathematics Research Notices, 2015(10), 2751-2783 - http://dx.doi.org/10.1093/imrn/rnu019
- Harari, D., & Szamuely, T. (2014). Local-global questions for tori over $p$-adic function fields.
- Kahn, B. (1996). Applications of weight-two cohomology. Documenta Mathematica, 1, 395-416 - http://www.emis.de/journals/DMJDMV/vol-01/17.html
- Merkurjev, A. (2014). Unramified degree three invariants of reductive groups. Preprint - http://www.math.ucla.edu/~merkurev/papers/unramified.pdf
- Merkurjev, A. (2013). Weight two cohomology of classifying spaces for semisimple groups. Preprint - http://www.math.ucla.edu/~merkurev/papers/ssinv.pdf
- Merkurjev, A. (2013). Degree three cohomological invariants of semisimple groups. Preprint - http://www.math.ucla.edu/~merkurev/papers/ssinv2.pdf
- Merkurjev, A. (2002). Unramified cohomology of classifying varieties for classical simply connected groups. Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, 35(3), 445-476 - http://dx.doi.org/10.1016/S0012-9593(02)01097-2
- Merkurjev, A. (1999). Invariants of algebraic groups. Journal für die Reine und Angewandte Mathematik, 508, 127–156 - http://dx.doi.org/10.1515/crll.1999.508.127
- Voisin, C. (2015). Unirational threefolds with no universal codimension 2 cycle. Inventiones Mathematicae, 201(1), 207-237 - http://dx.doi.org/10.1007/s00222-014-0551-y
