[NTNU Number Theory Seminar] 【5月14日】Arboreal Representative for single cycle genus-0 Belyi maps

by 黃鴻霖 | 2021-05-12 16:03:00

Speaker:彭俊文博士
Job title:理論中心
Title : Arboreal Representative for single cycle genus-0 Belyi maps
Abstract:
We consider a large class of so-called dynamical Belyi maps and study the Galois groups of iterates of such maps. From the combinatorial invariants of the maps, we construct a useful presentation of the geometric Galois groups as subgroups of automorphism groups of regular trees, in terms of iterated wreath products. Using results on the reduction of dynamical Belyi maps modulo certain primes, we obtain results on the corresponding arithmetic Galois groups of iterates. These lead to results on the behavior of the arithmetic Galois groups under specialization, with applications to dynamical sequences.

Time: May 14 (Fri.), 1:30~3:00 p.m., 2021
Place: Room 104, Department of Mathematics, NTNU

Source URL: https://cantor.math.ntnu.edu.tw/index.php/2021/05/12/001-24/