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Rank 3 rigid representations of projective fundamental groups

By Carlos Simpson

Appears in collection : Topology of complex algebraic varieties / Topologie des variétés algébriques complexes

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.

Information about the video

Date of recording 31/05/2016
Date of publication 09/06/2016
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18984703
Cite this video Simpson, Carlos (31/05/2016). Rank 3 rigid representations of projective fundamental groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18984703
URL https://dx.doi.org/10.24350/CIRM.V.18984703

Domain(s)

Algebraic Geometry

Bibliography

Langer, A., & Simpson, C. (2016). Rank 3 rigid representations of projective fundamental groups. <arXiv:1604.03252> - http://arxiv.org/abs/1604.03252

MSC codes

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