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The characteristic cycle and the singular support of an étale sheaf
Multi angle
Authors : Saito, Takeshi (Author of the conference)
CIRM (Publisher )
11S15 - Ramification and extension theory
14F20 - Étale and other Grothendieck topologies and cohomologies
14G17 - Positive characteristic ground fields
CIRM (Publisher )
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Abstract :
We define the characteristic cycle of an étale sheaf on a smooth variety of arbitrary dimension in positive characteristic using the singular support, constructed by Beilinson very recently. The characteristic cycle satisfies a Milnor formula for vanishing cycles and an index formula for the Euler-Poincaré characteristic.
MSC Codes : 11S15 - Ramification and extension theory
14F20 - Étale and other Grothendieck topologies and cohomologies
14G17 - Positive characteristic ground fields
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/07/15 Conference Date : 24/06/15 Subseries : Research talks arXiv category : Algebraic Geometry ; Number Theory Mathematical Area(s) : Algebraic & Complex Geometry ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:59:33 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-06-24_Saito.mp4 
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Information on the Event
Event Title : Arithmetic geometry, representation theory and applications / Géométrie arithmétique, théorie des représentations et applicationsEvent Organizers : Abbes, Ahmed ; Breuil, Christophe ; Chenevier, Gaëtan ; Saito, Takeshi Dates : 22/06/15 - 26/06/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1185.html
Citation Data
DOI : 10.24350/CIRM.V.18774903Cite this video as: Saito, Takeshi (2015). The characteristic cycle and the singular support of an étale sheaf. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18774903 URI : http://dx.doi.org/10.24350/CIRM.V.18774903 |
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