This workshop is a hybrid event that will be held at the Research Institute for Mathematical Sciences of Kyoto University, Japan (Access). Morning sessions are left open to allow for informal conversations between participants and speakers.
For lunch, participants may consider purchasing a take-out ``Obento'' (which can be consumed in the company of other participants) at the following shops, which are located close to RIMS and offer a wide range of menu options: Hotto Motto (at Mikage-Higashi-ooji) [MAPS], Grace Tanaka (on Higashi-ooji doori) [MAPS], or Lawson (on Imadegawa doori) [MAPS].
Schedule of the workshop
| Monday - March 17 | ||
| 11:30-13:00 | -- | Lunch Break - Opening address from 12:45 |
| 13:00-14:00 | Shinichi Mochizuki | Inter-universal Teichmüller Theory as an Anabelian Gateway to Diophantine Geometry and Analytic Number Theory (IUT Summit 2025 Version) |
| 14:20-15:20 | Wojciech Porowski | On the essential logical structure of inter-universal Teichmüller theory I |
| 15:40-16:40 | Wojciech Porowski | On the essential logical structure of inter-universal Teichmüller theory II |
| 17:00-18:00 | Wojciech Porowski | On the essential logical structure of inter-universal Teichmüller theory III |
| 18:20-19:00 | Shinichi Mochizuki | Q & A |
| Tuesday - March 18 | ||
| 10:30-11:30 | Benjamin Collas | Grothendieck-Teichmüller theory: from Galois-Teichmüller theory to anabelian geometry |
| 11:30-13:00 | -- | Lunch Break |
| 13:00-14:00 | Yuichiro Hoshi | Galois sections of hyperbolic polycurves I |
| 14:20-15:20 | Yuichiro Hoshi | Galois sections of hyperbolic polycurves II |
| 15:40-16:40 | Shota Tsujimura | On the arithmeticity of the Grothendieck-Teichmüller group I |
| 17:00-18:00 | Shota Tsujimura | On the arithmeticity of the Grothendieck-Teichmüller group II |
| 18:20-19:00 | Shinichi Mochizuki | Q & A |
| Wednesday - March 19 | ||
| 10:30-11:30 | Jeffrey Lagarias | Additional invited contribution (TBC) |
| 11:30-13:00 | -- | Lunch Break |
| 13:00-14:00 | Mohamed Saïdi | On the arithmeticity of the mapping class group |
| 14:20-15:20 | Arata Minamide | On the essential logical structure of inter-universal Teichmüller theory IV |
| 15:40-16:40 | Arata Minamide | On the essential logical structure of inter-universal Teichmüller theory V |
| 17:00-18:00 | Arata Minamide | On the essential logical structure of inter-universal Teichmüller theory VI |
| 18:20-19:00 | Shinichi Mochizuki | Q & A |
| Thursday - March 20 | ||
| 10:30-11:30 | Yuichiro Taguchi | Additional invited contribution |
| 11:30-13:00 | -- | Lunch Break |
| 13:00-14:00 | Wojciech Porowski | Locally conjugate Galois sections |
| 14:20-15:20 | Kiran Kedlaya | Tilting and Fargues-Fontaine curves (TBC) |
| 15:40-16:40 | Go Yamashita | On tilts and Inter-universal Teichmüller theory |
| 17:00-18:00 | James Douglas Boyd | Additional invited contribution |
| 18:20-19:00 | Zhong-Peng Zhou | Additional invited contribution |
Organizing committee
Yuichiro Hoshi
Research Institute for Mathematical Sciences, Kyoto University, Japan [Webpage]
Shinichi Mochizuki
Research Institute for Mathematical Sciences, Kyoto University, Japan [Webpage]
Benjamin Collas
Research Institute for Mathematical Sciences, Kyoto University, Japan [Webpage]
Emmanuel Lepage
Institut de Mathématique de Jussieu - Paris Rive Gauche, France [Webpage]