## IUT Theory of Shinichi Mochizuki

**Date:**
7 - 11 December 2015

**Location: ** Mathematical Institute, University of Oxford

**Event type:**
CMI Workshop

**Organisers: ** Ivan Fesenko (Nottingham), Minhyong Kim (Oxford), Kobi Kremnitzer (Oxford)

The work (currently being refereed) of Shinichi Mochizuki on inter-universal Teichmuller theory (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, have the potential to open new fundamental areas of mathematics. This workshop aims to present and analyse key principles, concepts, objects and proofs of the theory of Mochizuki and study its relations with existing theories in different areas, to help to increase the number of experts in the theory of Mochizuki and stimulate its further applications.

**Speakers:** Oren Ben-Bassat (Haifa), Weronika Czerniawska (Nottingham), Yuichiro Hoshi (RIMS Kyoto), Ariyan Javanpeykar (Mainz), Kiran Kedlaya (UC San Diego), Robert Kucharczyk (Bonn), Lars Kühne (Bonn), Ulf Kühn (Hamburg), Emmanuel Lepage (Paris 6-7), Chung Pang Mok (Purdue), Jakob Stix (Frankfurt), Tamas Szamuely (ARIM Budapest), Fucheng Tan (Jiao Tong), Go Yamashita (RIMS Kyoto), Shou-Wu Zhang (Princeton)