On anabelian geometry of a certain type of hyperbolic polycurves — Naotake Takao (RIMS, Kyoto)

In this talk, we first review some basics of anabelian geometry, especially on higher dimensional varieties. After reviewing, we discuss the Grothendieck conjecture for a certain type of hyperbolic polycurves (i.e., algebraic varieties in the form of successive fibrations by hyperbolic curves). As an application, we also discuss the Grothendieck conjecture for a certain type of finite étale covers of the moduli space of curves of genus two with ordered r marked points over a field of characteristic zero.