动力系统讨论班——Likely Intersections for Forward Orbits of Curves

报告人：Jit Wu Yap (哈佛大学)

时 间：2024 年5 月16  日（星期四），下午3:00-4:00

地 点：海纳苑2 幢102

摘 要：Let $f,g$ be two polynomials of degree $d > 1$ and let $\varphi = (f,g)$ be the endomorphism acting on $P^1 x P^1$. Given two curves $C$  and  $C'$,  we  expect  that  the  forward  iterates  of  $C$,  given  by $\varphi^n(C)$, to intersect $C'$ at many distinct points. We show that outside  of  some   exceptional   cases,   this  is  true  under  a  technical assumption of the Julia sets of $f$ and $g$. This is joint work with Sina Saleh.

联系人：叶和溪（yehexi@zju.edu.cn)