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$D$-modules and $p$-curvatures
Multi angle
Authors : Esnault, Hélène (Author of the conference)
CIRM (Publisher )
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.)
14E20 - Coverings
14F05 - Sheaves, derived categories of sheaves and related constructions
14F35 - Homotopy theory; fundamental groups
14G17 - Positive characteristic ground fields
CIRM (Publisher )
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Abstract :
We show relations between rigidity of connections in characteristic 0 and nilpotency of their $p$-curvatures (a consequence of a conjecture by Simpson and of a generalization of Grothendieck's $p$-curvature conjecture).
Work in progress with Michael Groechenig.
MSC Codes : Work in progress with Michael Groechenig.
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.)
14E20 - Coverings
14F05 - Sheaves, derived categories of sheaves and related constructions
14F35 - Homotopy theory; fundamental groups
14G17 - Positive characteristic ground fields
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/04/17 Conference Date : 29/03/17 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-29_Esnault.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.19153903Cite this video as: Esnault, Hélène (2017). $D$-modules and $p$-curvatures. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19153903 URI : http://dx.doi.org/10.24350/CIRM.V.19153903 |
See Also
- [Multi angle] Explosion of Lyapunov exponents using non-Archimedean geometry / Author of the conference Favre, Charles.
- [Multi angle] Arithmetic $D$-modules and existence of crystalline companion / Author of the conference Abe, Tomoyuki.
- [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.
Bibliography
