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## Unlikely intersections of polynomial orbits Zieve, Michael | CIRM H

Multi angle

Research talks;Dynamical Systems and Ordinary Differential Equations;Algebraic and Complex Geometry;Number Theory

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
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 ...

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Ressources Electroniques (Depuis le CIRM)

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