Français
Unlikely intersections of polynomial orbits
Multi angle
Authors : Zieve, Michael (Author of the conference)
CIRM (Publisher )
11C08 - Polynomials, See also {13F20}
14Gxx - Arithmetic problems. Diophantine geometry, See also {11Dxx,11Gxx}
37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
CIRM (Publisher )
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Abstract :
For a polynomial $f(x)$ over a field $L$, and an element $c \in L$, I will discuss the size of the intersection of the orbit $\lbrace f(c),f(f (c)),...\rbrace$ with a prescribed subfield of $L$. I will also discuss the size of the intersection of orbits of two distinct polynomials, and generalizations of these questions to more general maps between varieties.
polynomial decomposition - classification of finite simple groups - Bombieri-Lang conjecture - orbit - dynamical system - unlikely intersections
MSC Codes : polynomial decomposition - classification of finite simple groups - Bombieri-Lang conjecture - orbit - dynamical system - unlikely intersections
11C08 - Polynomials, See also {13F20}
14Gxx - Arithmetic problems. Diophantine geometry, See also {11Dxx,11Gxx}
37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/05/14 Conference Date : 04/02/14 Subseries : Research talks arXiv category : Number Theory ; Algebraic Geometry ; Dynamical Systems Mathematical Area(s) : Algebraic & Complex Geometry ; Number Theory ; Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:40:04 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-02-04_Zieve.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair - Main conference : unlikely intersections / Chaire Jean-Morlet - Conférence principaleEvent Organizers : Shparlinski, Igor Dates : 03/02/14 - 07/02/14 Event Year : 2014 Event URL : https://www.chairejeanmorlet.com/1059a.html
Citation Data
DOI : 10.24350/CIRM.V.18573703Cite this video as: Zieve, Michael (2014). Unlikely intersections of polynomial orbits. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18573703 URI : http://dx.doi.org/10.24350/CIRM.V.18573703 |
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