December 7-11 2015  Oxford   Math Institute L3 

Clay Mathematics Institute Workshop on IUT Theory of Shinichi Mochizuki 




December 7 


 8:30-9:00 Registration


 9:00-9:20 Ivan Fesenko Welcome and foreword

 9:20-10:10 Shou-Wu Zhang A proof of geometric Szpiro inequality inspired by Bogomolov

 10:40-11:40 Ulf Kuehn Noncritical Belyi maps and their application in arithmetic elliptic curves in general position

 13:30-14:30 Ariyan Javanpeykar Reducing the conjectures to one theorem of IUT,  sect. 1-2 of [IUT-IV] without proof of Th 1.10 of [IUT-IV]

 15:00-16:00 Yuichiro Hoshi An approximate statement of the main theorem of  IUT

 16:15-17:15 Yuichiro Hoshi Mono-anabelian transport

 17:20-18:00 Discussions



  December 8


 9:00-11:00 Questions and answers

 11:30-12:30 Fucheng Tan    Absolute anabelian geometry, [TAAG-I-II]

 13:50-14:50 Fucheng Tan    Absolute anabelian geometry, [TAAG-I-II]

 15:20-16:20 Jakob Stix Reconstruction of fields using Belyi cuspidalization,  sect.1 of [TAAG-III]

 16:35-17:35 Lars Kuehne    Archimedean aspects of absolute anabelian geometry,  [TAAG-III]

 17:35-18:00 Discussions



  December 9


 9:00-9:45 Oren Ben-Bassat     Frobenioids 

 10:00-10:45 Weronika Czerniawska  Frobenioids 

 11:15-12:15 Tamas Szamuely     Geometry and semi-graphs of anabelioids

 14:10-15:10 Emmanuel Lepage     Tempered fundamental group of semi-graphs of anabelioids, sect. 2 of [IUT-I]

 15:35-16:35 Robert Kucharczyk     On Hodge-Arakelov theory

 16:45-17:45 Kiran Kedlaya    Etale theta function

 17:45-18:00 Discussions



 December 10


 9:00-10:00 Kiran Kedlaya    Etale theta function

 10:15-11:15 Chung Pang Mok     IUT, [IUT-I] 

 11:45-12:45 Chung Pang Mok     IUT, [IUT-I] 

 13:50-14:50 Chung Pang Mok     IUT, [IUT-I] and sect.1 of [IUT-II]

 15:20-16:20 Yuichiro Hoshi    Hodge-Arakelov-theoretic evaluation, sect. 2-4 of [IUT-II]

 16:35-17:35 Yuichiro Hoshi    Hodge-Arakelov-theoretic evaluation, sect. 2-4 of [IUT-II]

 17:35-18:00 Discussions



 December 11


 9:00-10:00 Go Yamashita    IUT,  [IUT-III]

 10:15-11:15 Go Yamashita    IUT,  [IUT-III]

 11:45-12:45 Go Yamashita    IUT,  [IUT-III]

 13:40-15:40 Questions and answers

 16:10-17:10 Go Yamashita    IUT,[IUT-III] and sect. 1 of [IUT-IV], with some remarks on the language of species, sect. 3 of [IUT-IV]

 17:10-17:30 Ivan Fesenko    Summary and what's next





[TAAG] Sh. Mochizuki, Topics in absolute anabelian geometry I: Generalities, J. Math. Sci. Univ. Tokyo 19 (2012), 139–242; 

II: Decomposition groups and endomorphisms, J. Math. Sci. Univ. Tokyo 20 (2013), 171–269; 

III: Global reconstruction algorithms, J. Math. Sci. Univ. Tokyo 22 (2015), 1–218, 

available with comments from http://www.kurims.kyoto-u.ac.jp/~motizuki/papers-english.html



[IUT] Sh. Mochizuki, Inter-universal Teichmüller theory I: Constructions of Hodge theaters, preprint 2012–2015, 

II: Hodge-Arakelov-theoretic evaluation, preprint 2012–2015; 

III: Canonical splittings of the log-theta-lattice, preprint 2012–2015; 

IV: Log-volume computations and set-theoretic foundations, preprint 2012–2015, 

available from http://www.kurims.kyoto-u.ac.jp/~motizuki/papers-english.html