Inter-universal Teichmüller Theory Summit 2016
(RIMS workshop, July 18-27 2016)



Organisers: Ivan Fesenko, Shinichi Mochizuki, Yuichiro Taguchi

The work (currently being refereed) of SHINICHI MOCHIZUKI on inter-universal Teichmüller (IUT) theory (also known as arithmetic deformation theory) and its application to famous conjectures in diophantine geometry became publicly available in August 2012. This theory, developed over 20 years, introduces a vast collection of novel ideas, methods and objects. Aspects of the theory extend arithmetic geometry to a non-scheme-theoretic setting and, more generally, open a new fundamental area of mathematics.

The main aim of the workshop is to assist mathematicians in their study of IUT. The workshop will present and analyse key principles, concepts, objects and proofs of IUT theory of Mochizuki and its known relations with existing theories in different areas. The workshop follows the preceding Oxford IUT workshop.

Participants are encouraged and recommended to read some of the surveys of IUT, as well as to study materials of the previous IUT workshop and some of the relevant papers of Shinichi Mochizuki.

On questions and comments concerning IUT

Speakers: Weronika Czerniawska, Vesselin Dimitrov, Taylor Dupuy, Ivan Fesenko, Kazumi Higashiyama, Yuichiro Hoshi, Kobi Kremnitzer, Emmanuel Lepage, Arata Minamide, Shinichi Mochizuki, Ippei Nagamachi, Koichiro Sawada, Fucheng Tan, Dinesh Thakur, Adam Topaz, Yuki Wada, Go Yamashita, Seidai Yasuda, Paul Vojta, Boris Zilber

Participants: Weronika Czerniawska (Univ. Nottingham), Jamshid Derakhshan (Univ. Oxford), Vesselin Dimitrov (Yale Univ.), Taylor Dupuy (Hebrew University and Univ. Vermont), Ivan Fesenko (Univ. Nottingham), Yoshitaka Hachimori (Tokyo Univ. Science), Kei Hagihara (Keio Univ.), Kazumi Higashiyama (RIMS, Kyoto Univ.), Yuichiro Hoshi (RIMS, Kyoto Univ.), Zhi Hu (Univ. Science Technology, Shanghai), Tetsuya Ishida (Keio Univ.), Artur Jackson (Purdue Univ.), Koichi Kawada (Iwate Univ.), Makoto Kawashima (Osaka Univ.), Kiran Kedlaya (Univ. California San Diego), Kobi Kremnitzer (Univ. Oxford), Masato Kurihara (Keio Univ.), Jeffrey Lagarias (Univ. Michigan), Emmanuel Lepage (Univ. Paris 6), Arata Minamide (RIMS, Kyoto Univ.), Hiroyuki Miyoshi (Kyoto Sangyo Univ.), Shinichi Mochizuki (RIMS, Kyoto Univ.), Ippei Nagamachi (Tokyo Univ.), Yusuke Okuyama (Kyoto Inst.Technology), Yoshihiro Onishi (Meijo Univ.), Wojciech Porowski (Univ. Krakow), Takamichi Sano (Osaka Univ.), Koichiro Sawada (RIMS, Kyoto Univ.), Thomas Scanlon (Univ. California Berkeley), Atsushi Shiho (Univ. Tokyo), Masatoshi Suzuki (Tokyo Inst. Techn.), Akio Tamagawa (RIMS, Kyoto Univ.), Yuichiro Taguchi (Tokyo Inst. Techn.), Fucheng Tan (Shanghai Cent. Math. Sc. & Shanghai Jiao Tong Univ.), Dinesh Thakur (Rochester Univ.), Adam Topaz (Univ. California Berkeley), Machiel van Frankenhuijsen (Utah Valley Univ.), Christelle Vincent (Univ. Vermont), Paul Vojta (Univ. California Berkeley), Yuki Wada (RIMS, Kyoto Univ.), Isao Wakabayashi (Seikei Univ.), Atsushi Yamagami (Soka Univ.), Go Yamashita (RIMS, Kyoto Univ.), Seidai Yasuda (Osaka Univ.), Yu Yasufuku (Nihon Univ.), Boris Zilber (Univ. Oxford)

RIMS Workshop supported by RIMS, Symmetries and Correspondences and the JSPS Core-to-Core Program "Foundation of a Global Research Cooperative Center in Mathematics focused on Number Theory and Geometry"

Venue: RIMS (main building),
July 18 - 22 Room 420
July 25 - 27 Room 111

Program of the workshop (pdf version), including abstracts of talks

Program of the workshop (html version), including links to texts for the talks

Photographs from the workshop are available from this page.

Mathematicians willing to watch video records of the talks can contact one of the organisers of the workshop to arrange their viewing in his home department.

Animations illustrating IUT

The images on this page are taken from the animations

All images on this page and its subpages are subject to copyright © 2016 RIMS workshop on IUT Summit, July 18-27 2016. All rights reserved. Any reproduction or republication of the images, without a prior written consent of the organisers, is expressly prohibited.