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].
Videos of the talks are available upon request to any member of the Organizing Committee for professional mathematicians (and graduate students in mathematics) only. The videos may be shown to a few colleagues, but are not to be made public. The videos are to be used only for scholarly, mathematical purposes.
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 | Problems on class fields of orders of quadratic fields | |
| 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 | Mordell-Weil groups over large algebraic extensions of number fields | |
| 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 | |
| 15:40-16:40 | Go Yamashita | On tilts and Inter-universal Teichmüller theory | |
| 17:00-18:00 | James Douglas Boyd | On the Historical Development of Inter-universal Teichmüller Theory (IUT): A Science Journalist's Perspective, Based on Recent Interviews | |
| 18:20-19:00 | Zhong-Peng Zhou | Applications of Inter-universal Teichmüller Theory to Diophantine Geometry and Equations over the rational numbers | |
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]