Guides on IUT theory of Shinichi Mochizuki: reports, surveys, workshops materials, talks, lectures, videos




Published IUT papers


Inter-universal Teichmüller Theory, by Shinichi Mochizuki, Publications of RIMS, European Math Society Press, March 2021



Reports


On the verification of inter-universal Teichmüller theory: a progress report (as of December 2013), by Shinichi Mochizuki

On the verification of inter-universal Teichmüller theory: a progress report (as of December 2014), by Shinichi Mochizuki

On the essential logical structure of inter-universal Teichmüller theory in terms of logical and "∧"/ logical or "∨" relations: Report on the occasion of the publication of the four main papers on inter-universal Teichmüller theory, by Shinichi Mochizuki



Introductory and survey texts


Invitation to inter-universal Teichmüller theory (lecture note version), by Shinichi Mochizuki

A panoramic overview of inter-universal Teichmüller theory, Res. Inst. Math. Sci. (RIMS), Kyoto (2014), 301-345, by Shinichi Mochizuki

The mathematics of mutually alien copies: from gaussian integrals to inter-universal Teichmüller theory, Inter-universal Teichmuller Theory Summit 2016,RIMS Kokyuroku Bessatsu B84, Res. Inst. Math. Sci. (RIMS), Kyoto (2021) 23-192, by Shinichi Mochizuki

Bogomolov's proof of the geometric version of the Szpiro conjecture from the point of view of inter-universal Teichmüller theory, Res. Math. Sci. 3(2016), 3:6, by Shinichi Mochizuki


Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions, notes on the work of Shinichi Mochizuki, Europ. J. Math. (2015) 1:405-440, by Ivan Fesenko

Fukugen, in Inference: International Review of Science 2 no. 3 (2016), by Ivan Fesenko,


Introduction to inter-universal Teichmüller theory (in Japanese), by Yuichiro Hoshi

Introduction to inter-universal Teichmüller theory, continued (in Japanese), by Yuichiro Hoshi

Introduction to mono-anabelian geometry, by Yuichiro Hoshi


A proof of abc conjecture, after Mochizuki, by Go Yamashita


Note on inter-universal Teichmüller theory, by Fucheng Tan, forthcoming



Special years, workshops, seminars


December 2015 Oxford workshop on IUT, org. I.Fesenko, M. Kim, K. Kremnitzer, with various materials

Bejing workshop on IUT, July 2015, org. Ch. P. Mok and F. Tan

Semester on anabelian geometry and inter-universal Teichmüller theory, 2016, Shanghai Jiao Tong Univ., org. F. Tan

July 2016 Kyoto workshop on IUT, org. I Fesenko, Sh. Mochizuki, Yu. Taguchi, with various materials

Kummer classes and anabelian geometry, Univ. Vermont, September 2016, org. T. Dupuy, C. Pomerance, C. Vincent, J. Voight

Foundations and perspectives of anabelian geometry, RIMS workshop, May 18-22 2020, org. I Fesenko, A. Minamide, F. Tan

Nottingham-Paris seminar on the IUT theory of Shinichi Mochizuki, 2017-2018

Slides of talk on IUT by Fucheng Tan, SUSTech, January 2018

RIMS-Lille online seminar on the IUT theory of Shinichi Mochizuki, 2020-2021

Special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory", April 2021-March 2022, including the following 4 workshops

Foundations and perspectives of anabelian geometry, June 28 - July 2 2021

Combinatorial anabelian geometry and related topics, July 6 - July 9 2021

Invitation to inter-universal Teichmüller theory, August 31 - September 3 2021

Inter-universal Teichmüller theory (IUT) summit, September 7 - September 10 2021



Videos for IUT


Animations for IUT

Fumiharu Kato's public lecture on the abc conjecture and the inter-universal Teichmüller theory of Shinichi Mochizuki, with English subtitles



For general mathematical audience


On the verification of inter-universal Teichmüller theory: a progress report (as of December 2013), by Shinichi Mochizuki

On the verification of inter-universal Teichmüller theory: a progress report (as of December 2014), by Shinichi Mochizuki

On the essential logical structure of inter-universal Teichmüller theory in terms of logical and "∧"/ logical or "∨" relations: Report on the occasion of the publication of the four main papers on inter-universal Teichmüller theory, by Shinichi Mochizuki

Fukugen, in Inference: International Review of Science 2 no. 3 (2016), by Ivan Fesenko,

Talk on inter-universal Teichmüller theory of Shinichi Mochizuki, by Ivan Fesenko

About certain aspects of the study and dissemination of Shinichi Mochizuki's IUT theory, by Ivan Fesenko

On pioneering mathematical research, on the occasion of the announced publication of the IUT papers by Shinichi Mochizuki, by Ivan Fesenko



For general non-mathematical audience


On the verification of inter-universal Teichmüller theory: a progress report (as of December 2013), by Shinichi Mochizuki

On the verification of inter-universal Teichmüller theory: a progress report (as of December 2014), by Shinichi Mochizuki

On the essential logical structure of inter-universal Teichmüller theory in terms of logical and "∧"/ logical or "∨" relations: Report on the occasion of the publication of the four main papers on inter-universal Teichmüller theory, by Shinichi Mochizuki

Fumiharu Kato's public lecture on the abc conjecture and the inter-universal Teichmüller theory of Shinichi Mochizuki, with English subtitles

"Mathematics that bridges universes. The shock of IUT theory", 300pp. book by Fumiharu Kato, Kadokawa, April 2019, ISBN 978-4044004170

About certain aspects of the study and dissemination of Shinichi Mochizuki's IUT theory, by Ivan Fesenko

On pioneering mathematical research, on the occasion of the announced publication of the IUT papers by Shinichi Mochizuki, by Ivan Fesenko




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