Anabelian geometry, a modern overview

Abstract: The question of reconstructing certain classes of geometric spaces from their étale fundamental group is part of Grothendieck's legacy. While it is often considered for his original insight to have been fulfilled in the '90s (Nakamura, Tamagawa and Mochizuki), it also became a definite area of expertise of the Japanese arithmetic geometry school: new techniques and principles have been developed that go beyond Grothendieck's original insight.

The goal of this talk is to present a broad overview of principles and techniques of the field, including some prospective links with motivic theory and some recent Diophantine applications (Mochizuki; Mochizuki, Hoshi et al.)

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October