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Seminars

Number Theory Seminar

Twisted rational maps and its application in skew products

2026/10/23 (Fri.) 10:30~11:45
  • Date : 2026/10/23 (Fri.) 10:30~11:45
  • Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
  • Speaker : Hongming Nie (State University of New York at Stony Brook)
  • Organizer : Julie Tzu-Yueh Wang (AS)
  • Abstract :
    A twisted rational map over a field $K$ is the composition of a rational function over $K$ with an automorphism of $K$. When $K=\mathbb{C}$, twisted rational maps include the antiholomorphic maps. In the non-Archimedean setting, $K$ can admit continuous automorphisms of infinite order. This gives rise to rich dynamic behavior. Moreover, it turns out that the non-archimedean twisted rational map provides a new perspective to study complex skew products. In this talk, I will present the dynamics of some twisted rational maps on the Berkovich projective line, and discuss an application of non-archimedean twisted rational map to complex skew products. This is a joint work with Shengyuan Zhao.
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