Combinatorial Anabelian Geometry and Related Topics,
RIMS workshop, July 5 - July 9, 2021

Organizers: Yuichiro Hoshi (RIMS), Shinichi Mochizuki (RIMS), Ivan Fesenko (Univ. Nottingham), Arata Minamide (RIMS), Shota Tsujimura (RIMS), Benjamin Collas (RIMS/Univ. Lille)

Notes and recordings of the workshop

Note that access to the videos is provided upon registration (see below).
July 5 (Monday)
Shinichi Mochizuki Overview of Combinatorial Anabelian Geometry I, II & III [Lecture notes], [Marked up version], [MS whiteboard]   
Yuichiro Hoshi A Combinatorial Anabelian Result for Stable Log Curves over Log Points
July 6 (Tuesday)
Arata Minamide The injectivity portion of combinatorial cuspidalization for FC-admissible outer automorphisms I & II 
Shota TsujimuraGeometric version of the Grothendieck conjecture for universal curves over Hurwitz stacks
Koichiro SawadaReconstruction of invariants of configuration spaces of hyperbolic curves from associated Lie algebras
July 7 (Wednesday)
Yuichiro HoshiCombinatorial Anabelian Geometry in the Absence of Group-theoretic Cuspidality
Yuichiro HoshiSynchronization of Tripods and Glueability of Combinatorial Cuspidalizations
Arata MinamideThe Grothendieck-Teichmüller group as an open subgroup of the outer automorphism group of the étale fundamental group of a configuration space
Shinichi MochizukiQ & A Session
July 8 (Thursday)
Shota TsujimuraCombinatorial Belyi cuspidalization (I) & (II) 
Kazumi HigashiyamaThe mono-anabelian geometry of geometrically pro-p arithmetic fundamental groups of associated low-dimensional configuration spaces II & III  
July 9 (Friday)
Yuichiro HoshiApplications to the Theory of Tempered Fundamental Groups
Yu IijimaOn the centralizer of the image of the universal outer monodromy representation of the moduli stack of pointed hyperbolic curves
Yu YangReconstructions of geometric data of pointed stable curves in positive characteristic
Emmanuel LepageResolution of non-singularities for Mumford Curves

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.

RIMS Workshop supported by RIMS and
Symmetries and Correspondences

This workshop is one of four workshops of special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory".

For a list of participants, programme and schedule see the main page of the workshop.

The special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory" will also include the following three workshops: