时间：2024年5月10日（星期五）14:00
地点：西湖大学云谷校区E4-233
主讲人：巴黎萨克雷大学张宇刚
报告题目：Finiteness results for families of plane regular polynomial automorphisms
报告摘要：Given a marked point of an algebraic family of rational maps on the projective line, there are infinitely many preperiodic points by Montel's theorem. As a special case, there are infinitely many torsion points on a section of a family of elliptic curves. Now given a family of simple abelian varieties of relative dimension larger than 1, the subset of torsion points are not Zariski dense in any non-torsion section, by a recent result of Gao and Habegger. We propose a dynamical analogue of this result for families of Hénon maps defined over number fields.
