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Local acyclicity in $p$-adic geometry
Post-edited
Authors : Scholze, Peter (Author of the conference)
CIRM (Publisher )
11F80 - Galois representations
11S37 - Langlands-Weil conjectures, nonabelian class field theory
14F30 - $p$-adic cohomology, crystalline cohomology
14G22 - Rigid analytic geometry
CIRM (Publisher )
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| local acyclicity for schemes application to fusion product local acyclicity in $p$-adic geometry constructible sheaves application to cohomological smoothness |
Abstract :
Motivated by applications to the geometric Satake equivalence and in particular the construction of the fusion product, we define a notion of universally locally acyclic for rigid spaces and diamonds, and prove that it has the expected properties.
MSC Codes : 11F80 - Galois representations
11S37 - Langlands-Weil conjectures, nonabelian class field theory
14F30 - $p$-adic cohomology, crystalline cohomology
14G22 - Rigid analytic geometry
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 05/07/2018 Conference Date : 03/07/2018 Series : The Fields Medallists Subseries : Research talks arXiv category : Algebraic Geometry ; Number Theory Mathematical Area(s) : Number Theory ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:57:16 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-07-03_Scholze.mp4 
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Information on the Event
Event Title : $p$-adic Langlands correspondence, Shimura varieties and perfectoids / Correspondance de Langlands $p$-adique, variétés de Shimura et perfectoïdesEvent Organizers : Boyer, Pascal ; Colmez, Pierre ; Hida, Haruzo ; Pilloni, Vincent ; Rapoport, Michael Dates : 02/07/2018 - 06/07/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1649.html
Citation Data
DOI : 10.24350/CIRM.V.19419103Cite this video as: Scholze, Peter (2018). Local acyclicity in $p$-adic geometry. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19419103 URI : http://dx.doi.org/10.24350/CIRM.V.19419103 |
See Also
- [Multi angle] Automorphy lifting via level lowering congruences / Author of the conference Khare, Chandrashekhar.
- [Multi angle] On comparison theorems for rigid analytic spaces / Author of the conference Niziol, Wieslawa.
- [Multi angle] Integral $p$-adic étale cohomology of Drinfeld spaces / Author of the conference Dospinescu, Gabriel.
- [Multi angle] A Jacobian criterion for smoothness of algebraic diamonds / Author of the conference Fargues, Laurent.
Bibliography
