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Random section of line bundles over real Riemann surfaces
Multi angle
Authors : Ancona, Michele (Author of the conference)
CIRM (Publisher )
32A60 - Zero sets of holomorphic functions
53C65 - Integral geometry
60D05 - Geometric probability and stochastic geometry
CIRM (Publisher )
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Abstract :
Given a line bundle $L$ over a real Riemann surface, we study the number of real zeros of a random section of $L$. We prove a rarefaction result for sections whose number of real zeros deviates from the expected one.
Keywords : Riemann surfaces; random line bundles; zeros of random holomorphic sections
MSC Codes : Keywords : Riemann surfaces; random line bundles; zeros of random holomorphic sections
32A60 - Zero sets of holomorphic functions
53C65 - Integral geometry
60D05 - Geometric probability and stochastic geometry
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/01/2019 Conference Date : 20/12/2018 Subseries : Research talks arXiv category : Algebraic Geometry ; Probability Mathematical Area(s) : Analysis and its Applications ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:53:09 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-12-20_Ancona.mp4 
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Information on the Event
Event Title : Algebraic geometry and complex geometry / Géométrie algébrique et géométrie complexeEvent Organizers : Benoist, Olivier ; Pasquier, Boris Dates : 17/12/2018 - 21/12/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1858.html
Citation Data
DOI : 10.24350/CIRM.V.19484603Cite this video as: Ancona, Michele (2018). Random section of line bundles over real Riemann surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19484603 URI : http://dx.doi.org/10.24350/CIRM.V.19484603 |
See Also
- [Multi angle] Examples of Kähler groups / Author of the conference Eyssidieux, Philippe.
- [Multi angle] Algebraic models of the line in the real affine plane / Author of the conference Mangolte, Frédéric.
- [Multi angle] Fano fibrations in positive characteristic / Author of the conference Fanelli, Andrea.
- [Post-edited] On the existence of algebraic approximations of compact Kähler manifolds / Author of the conference Lin, Hsueh-Yung.
Bibliography
- Ancona, M. (2018). Random sections of line bundles over real Riemann surfaces. 〈arXiv:1806.10481〉 - https://arxiv.org/abs/1806.10481
Imagette Video
