Foundations and Perspectives of Anabelian Geometry,
RIMS workshop, June 28 - July 2 2021

Notes and recordings of the workshop

June 28 (Monday)
Ivan Fesenko & Shinichi Mochizuki	Opening words
Akio Tamagawa	Developments of anabelian geometry of curves over finite fields, [Addendum]
Shinichi Mochizuki	The technique of tripodal transport in arithmetic geometry [Lectures notes] (adapted from Section 3.10 of [Alien]), [Marked up version], [Microsoft whiteboard]
Arata Minamide	The Grothendieck–Teichmüller group and the outer automorphism groups of the profinite braid groups
June 29 (Tuesday)
Shinichi Mochizuki	Q & A Session
Hiroaki Nakamura	On arithmetic and geometry around the adelic Eisenstein function
Shinichi Mochizuki	The technique of tripodal transport in arithmetic geometry
Fedor Bogomolov	Birational geometry and group theory
June 30 (Wednesday)
Akio Tamagawa	Q & A Session
Yuichiro Hoshi	The absolute anabelian geometry of quasi-tripods
Emmanuel Lepage	The absolute anabelian conjecture for curves with resolution of non-singularities
Yu Yang	Moduli spaces of fundamental groups of curves in positive characteristic
July 1 (Thursday)
Shinichi Mochizuki	Q & A Session
Takahiro Murotani	A p-adic analytic approach to the absolute Grothendieck conjecture
Wojciech Porowski	Pro-p anabelian geometry of punctured elliptic curves
Shota Tsujimura	Combinatorial Belyi cuspidalization and its applications
July 2 (Friday)
Shinichi Mochizuki	Q & A Session
Koichiro Sawada	On surjective homomorphisms from a configuration space group to a surface group
Shota Tsujimura	Anabelian group-theoretic properties of the absolute Galois groups of higher local fields
Kazumi Higashiyama	The mono-anabelian geometry of geometrically pro-p arithmetic fundamental groups of second configuration spaces

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.