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Rank 3 rigid representations of projective fundamental groups
Post-edited
Authors : Simpson, Carlos (Author of the conference)
CIRM (Publisher )
14D07 - Variation of Hodge structures
14F35 - Homotopy theory; fundamental groups
22E40 - Discrete subgroups of Lie groups
58E20 - Harmonic maps
CIRM (Publisher )
Abstract :
This is joint with Adrian Langer. Let $X$ be a smooth complex projective variety. We show that every rigid integral irreducible representation $ \pi_1(X,x) \to SL(3,\mathbb{C})$ is of geometric origin, i.e. it comes from a family of smooth projective varieties. The underlying theorem is a classification of VHS of type $(1,1,1)$ using some ideas from birational geometry.
MSC Codes : 14D07 - Variation of Hodge structures
14F35 - Homotopy theory; fundamental groups
22E40 - Discrete subgroups of Lie groups
58E20 - Harmonic maps
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/06/16 Conference Date : 31/05/16 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:02:13 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-05-31_Simpson.mp4 
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Information on the Event
Event Title : Topology of complex algebraic varieties / Topologie des variétés algébriques complexesEvent Organizers : Eyssidieux, Philippe ; Klinger, Bruno ; Kotschick, Dieter ; Toledo, Domingo Dates : 30/05/16 - 03/06/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1398.html
Citation Data
DOI : 10.24350/CIRM.V.18984703Cite this video as: Simpson, Carlos (2016). Rank 3 rigid representations of projective fundamental groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18984703 URI : http://dx.doi.org/10.24350/CIRM.V.18984703 |
See Also
- [Multi angle] A strong hyperbolicity property of locally symmetric varieties / Author of the conference Brunebarbe, Yohan.
- [Multi angle] New examples of rigid varieties and criteria for fibred surfaces to be $K(\pi,1)$-spaces / Author of the conference Catanese, Fabrizio.
- [Multi angle] Variations on an example of Hirzebruch / Author of the conference Stover, Matthew.
- [Multi angle] A computational approach to Milnor fiber cohomology / Author of the conference Dimca, Alexandru.
Bibliography
- Langer, A., & Simpson, C. (2016). Rank 3 rigid representations of projective fundamental groups.
