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Number theory and dynamical systems

报告题目:Number theory and dynamical systems

报告人:Michael Zieve

时间:2012517(星期四)16:00-17:00

地点:理科楼数学系A304

摘要:I will present two recent results linking number theory with dynamical systems.The first result exhibit all pairs of complex polynomials f(x) and  g(x)  for which there are complex numbers c and d such that the orbits {c, f(c), f(f(c)), ...} and {d, g(d), g(g(d)), ...} have infinite intersection. The second result asserts that any polynomial with rational coefficients induces a function on the rational numbers which is at most 6-to-1 outside a finite set. I will also present conjectural generalizations of these two results which simultaneously generalize the Mordell-Lang conjecture and Mazur's theorem on rational torsion on elliptic curves, respectively. 

联系人印林生、姚家燕

 

 

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