Some anabelian theorems for fields and curves
Time: Mon, 9 Dec 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Fucheng Tan 谭福成 (Research Institute for Mathematical Sciences, Kyoto University)
Abstract:
This talk is an introduction to some well-known theorems in anabelian geometry. We will focus on Uchida’s theorem on function fields, and give a modern proof, i.e. an algorithm which reconstructs the function field group-theoretically via the Galois group of some solvably closed Galois extension. This is the so-called mono-anabelian approach. Time permitting, I will explain the absolute anabelian theorem for hyperbolic curves of strictly Belyi type.