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Variations on an example of Hirzebruch
Multi angle
Authors : Stover, Matthew (Author of the conference)
CIRM (Publisher )
32Q45 - Hyperbolic and Kobayashi hyperbolic manifolds
57M50 - Geometric structures on low-dimensional manifolds
14M27 - Compactifications; symmetric and spherical varieties
CIRM (Publisher )
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Abstract :
In '84, Hirzebruch constructed a very explicit noncompact ball quotient manifold in the process of constructing smooth projective surfaces with Chern slope arbitrarily close to 3. I will discuss how this and some closely related ball quotients are useful in answering a variety of other questions. Some of this is joint with Luca Di Cerbo.
MSC Codes : 32Q45 - Hyperbolic and Kobayashi hyperbolic manifolds
57M50 - Geometric structures on low-dimensional manifolds
14M27 - Compactifications; symmetric and spherical varieties
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/06/16 Conference Date : 01/06/2016 Subseries : Research talks arXiv category : Algebraic Geometry ; Geometric Topology ; Differential Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 01:03:29 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-06-01_Stover.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 : 30/05/2016 - 03/06/2016 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1398.html
Citation Data
DOI : 10.24350/CIRM.V.18990203Cite this video as: Stover, Matthew (2016). Variations on an example of Hirzebruch. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18990203 URI : http://dx.doi.org/10.24350/CIRM.V.18990203 |
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] A computational approach to Milnor fiber cohomology / Author of the conference Dimca, Alexandru.
- [Post-edited] Rank 3 rigid representations of projective fundamental groups / Author of the conference Simpson, Carlos.
Bibliography
- Di Cerbo, Luca F., & Stover, Matthew (2015). Multiple realizations of varieties as ball quotient compactifications.
- Di Cerbo, Luca F., & Stover, Matthew (2015). Classification and arithmeticity of toroidal compactifications with $3\bar{c}_2=\bar{c}^2_1=3$ - http://arxiv.org/abs/1505.01414
