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Signature morphisms from the Cremona group
Multi angle
Authors : Zimmermann, Susanna (Author of the conference)
CIRM (Publisher )
14E07 - Birational automorphisms, Cremona group and generalizations
14E30 - Minimal model program (Mori theory, extremal rays)
CIRM (Publisher )
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Abstract :
The plane Cremona group is the group of birational transformations of the projective plane. I would like to discuss why over algebraically closed fields there are no homomorphisms from the plane Cremona group to a finite group, but for certain non-closed fields there are (in fact there are many). This is joint work with Stéphane Lamy.
Keywords : Cremona group; Sarkisov program; abelianization; non-closed fields
MSC Codes : Keywords : Cremona group; Sarkisov program; abelianization; non-closed fields
14E07 - Birational automorphisms, Cremona group and generalizations
14E30 - Minimal model program (Mori theory, extremal rays)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 12/04/2018 Conference Date : 12/04/2018 Subseries : Research talks arXiv category : Algebraic Geometry ; Group Theory Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:50:08 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-04-12_Zimmermann.mp4 
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Information on the Event
Event Title : French-German meeting on complex algebraic geometry / Rencontre franco-allemande en géométrie algébrique complexeEvent Organizers : Greb, Daniel ; Höring, Andreas ; Toma, Matei Dates : 09/04/2018 - 13/04/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1789.html
Citation Data
DOI : 10.24350/CIRM.V.19388503Cite this video as: Zimmermann, Susanna (2018). Signature morphisms from the Cremona group. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19388503 URI : http://dx.doi.org/10.24350/CIRM.V.19388503 |
See Also
- [Multi angle] Gonality and zero-cycles of abelian varieties / Author of the conference Voisin, Claire.
- [Multi angle] Nonabelian Hodge correspondences for klt varieties and quasi-etale uniformisation / Author of the conference Kebekus, Stefan.
- [Multi angle] Improved bounds for the Kobayashi conjecture on generic hyperbolicity / Author of the conference Demailly, Jean-Pierre.
- [Post-edited] Periods of polarized hyperkähler manifolds / Author of the conference Debarre, Olivier.
- [Multi angle] Deformation theory of twistor spaces of K3 surfaces / Author of the conference Brecan, Ana-Maria.
Bibliography
- Lamy, S., & Zimmermann, S. (2018). Signature morphisms from the Cremona group over a non-closed field.
- https://hal.archives-ouvertes.fr/hal-01719067
