Inter-universal Teichmüller Theory (IUT) Summit 2021,
RIMS workshop, September 7 - September 10 2021

Notes and recordings of the workshop

Sept. 7 (Tuesday)
Shinichi Mochizuki	On the essential logical structure of inter-universal Teichmüller theory IV and V [Marked up version], [Notes], [Alien], [EssLgc], [ClsIUT], [ClsIUT] (marked up version), [IUAni1], [IUAni2].
Arata Minamide	Explicit Estimates in Inter-universal Teichmüller Theory I and II, Reference: [ExpEst].
Sept. 8 (Wednesday)
Yuichiro Hoshi	Multiradial representations and log-volume estimates. With comments.
Go Yamashita	A Motivation of Θ-link from Hodge-Arakelov theory.
Christian Táfula Santos	From ABC to L: On singular moduli and Siegel zeroes, Reference: [Táfula].
Benjamin Collas	Principles of Inter-universal Teichmüller Geometry With comments (x2).
Sept. 9 (Thursday)
Yuichiro Hoshi	On the Galois orbit version of inter-universal Teichmüller theory I: a progress report.
Yuichiro Hoshi	On the Galois orbit version of inter-universal Teichmüller theory II: a progress report. With Comments and Q&A [Mochizuki].
Ivan Fesenko	IUT and modern number theory.
Shinichi Mochizuki	Q & A Session I [MS whiteboard]
Sept. 10 (Friday)
Wojciech Porowski	Overview of IUT theory
Shota Tsujimura	Combinatorial construction of the absolute Galois group of the field of rational numbers (I). With comments [Mochizuki].
Shota Tsujimura	Combinatorial construction of the absolute Galois group of the field of rational numbers (II).
Shinichi Mochizuki	Q & A Session II [MS whiteboard]. Include closing words of the workshop.

The following Leitfaden can be used as a guide for the series of talks of the two IUT workshops.

Access to the videos and purpose of use

Access to the videos will be provided to professional mathematicians (and graduate students in mathematics) who register by sending an e-mail to any of the members of the Organizing Committee of the two IUT workshops stating the

• name,
• affiliation, and
• email address

of the person to be registered. The videos may be shown to a few colleagues, but are not to be made public. Moreover, the videos are to be used only for scholarly, mathematical purposes. In particular, the videos are not to be used for non-mathematical purposes.

Update March 2022. For certain technical reasons, in some cases, it may be necessary for mathematicians who registered prior to March 1, 2022, to register again in order to be able to view the videos subsequent to March 31, 2022.

Organizing Committee: Benjamin Collas, Ivan Fesenko, Yuichiro Hoshi, Shinichi Mochizuki, Yuichiro Taguchi.