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Explosion of Lyapunov exponents using non-Archimedean geometry
Multi angle
Authors : Favre, Charles (Author of the conference)
CIRM (Publisher )
14G22 - Rigid analytic geometry
32P05 - Non-Archimedean complex analysis
37P50 - Dynamical systems on Berkovich spaces
11S82 - Non-Archimedean dynamical systems
CIRM (Publisher )
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Abstract :
We consider a meromorphic family of endomorphisms of the complex projective space parameterized by the unit disk, and show that the blow-up of the Lyapunov exponent near the origin is controlled by a non-Archimedean quantity.
MSC Codes : 14G22 - Rigid analytic geometry
32P05 - Non-Archimedean complex analysis
37P50 - Dynamical systems on Berkovich spaces
11S82 - Non-Archimedean dynamical systems
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/04/17 Conference Date : 30/03/17 Subseries : Research talks arXiv category : Geometric Topology ; Dynamical Systems Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-30_Favre.mp4 
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Information on the Event
Event Title : $p$-adic analytic geometry and differential equations / Géométrie analytique et équations différentielles $p$-adiquesEvent Organizers : Lebacque, Philippe ; Nicaise, Johannes ; Poineau, Jérôme Dates : 27/03/17 - 31/03/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1609.html
Citation Data
DOI : 10.24350/CIRM.V.19154303Cite this video as: Favre, Charles (2017). Explosion of Lyapunov exponents using non-Archimedean geometry. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19154303 URI : http://dx.doi.org/10.24350/CIRM.V.19154303 |
See Also
- [Multi angle] Arithmetic $D$-modules and existence of crystalline companion / Author of the conference Abe, Tomoyuki.
- [Multi angle] $D$-modules and $p$-curvatures / Author of the conference Esnault, Hélène.
- [Multi angle] de Rham theorem in non-Archimedean analytic geometry / Author of the conference Berkovich, Vladimir.
- [Post-edited] An overview on some recent results about $p$-adic differential equations over Berkovich curves / Author of the conference Pulita, Andrea.
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