Atelier de Géométrie Arithmétique - 数論幾何学のアトリエ 2024
Around the Grothendieck-Teichmüller group
The Grothendieck-Teichmüller group GT, first introduced by Drinfel'd and Ihara in the 90s, follows Grothendieck's insight of ``Esquisse d'un programme'' to encapture the absolute Galois group of rational numbers in a combinatorial way, via topological group properties, within the outer automorphism group of a certain category of tower of étale fundamental groupoids. Recent breakthroughs were obtained, on the topological side (via operads, see Fresse-Horel ~2012) and on the arithmetic side (via combinatorial anabelian geometry, see Hoshi-Minamide-Mochizuki ~2017).
The goal of this workshop is to provide an arithmetical construction of the Grothendieck- Teichmüller group such as given by Ihara, and a practical understanding of the anabelian and geometric methods used by Hoshi, Minamide and Mochizuki to provide recent results on GT. We refer to the program for a description of talks and a list of references.
This atelier is organized with the support of the École Parisienne d'Arithmétique et de Géométrie (ÉPAG).
Registation [opened]
Would you be interested in attending or giving a talk, please register here.
| Antonin Assoun | Université de Lille | Paris |
| Elias Caerio | École Normale Supérieure PSL | Paris |
| Lucas Dauger | Sorbonne Université | Paris |
| Mattias Ferreira-filoramo | Sorbonne University Paris | Paris |
| Shun Ishii | Keio University | Kyoto |
| Yuki Kondo | Osaka University | Kyoto |
| Kaiji Kondo | RIMS Kyoto University | Kyoto |
| Brieuc Lair | École Normale Supérieure PSL | Kyoto |
| Louis Loiseau | Université de Nantes | Paris |
| Maxime Lombard | Université de Nantes | Paris |
| Séverin Philip | RIMS Kyoto University | Kyoto |
| Densuke Shiraishi | Osaka University | Kyoto |
| Jianbo Sun | Kyushu University | Kyoto |
| Reiya Tachihara | RIMS Kyoto University | Kyoto |
| Naoka Takada | Osaka University | Kyoto |
| Nikola Tomic | Université de Montpellier | Paris |
| Shiyuan Wan | University of Bordeaux | Paris |
| Naganori Yamaguchi | Tokyo Institute of Technology | Kyoto |
The Atelier takes place in-person with a Zoom bridge between RIMS Kyoto and Paris. Participants proposes and vote for the next Atelier topic.
You can also contact one of the organizers -- M. Ferreira-Filoramo (France), S. Philip (RIMS JP) or N. Yamaguchi (Tokyo JP).