Français
Arithmetic $D$-modules and existence of crystalline companion
Multi angle
Authors : Abe, Tomoyuki (Author of the conference)
CIRM (Publisher )
12H25 - $p$-adic differential equations
14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14F30 - $p$-adic cohomology, crystalline cohomology
CIRM (Publisher )
Loading the player...
|
Abstract :
We will show that there exists a correspondence between smooth $l$-adic sheaves and overconvergent $F$-isocrystals over a curve preserving the Frobenius eigenvalues. Moreover, we show the existence of $l$-adic companions associated to overconvergent $F$-isocrystals for smooth varieties.
Some part of the work is done jointly with Esnault.
MSC Codes : Some part of the work is done jointly with Esnault.
12H25 - $p$-adic differential equations
14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14F30 - $p$-adic cohomology, crystalline cohomology
|
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 ; Number Theory Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-29_Abe.mp4 
|
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.19154103Cite this video as: Abe, Tomoyuki (2017). Arithmetic $D$-modules and existence of crystalline companion. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19154103 URI : http://dx.doi.org/10.24350/CIRM.V.19154103 |
See Also
- [Multi angle] Explosion of Lyapunov exponents using non-Archimedean geometry / Author of the conference Favre, Charles.
- [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.
Bibliography
- Abe, T. (2016). Langlands correspondence for isocrystals and existence of crystalline companion for curves.
