IUGC (Inter-universal Geometry Center) is a research institute promoting the dissemination and development of Interuniversal Teichmüller Theory (IUT Theory). IUT theory is expected not only to solve the ABC conjecture, the ultimate conjecture of modern number theory, but also to apply to many other important problems.
The Inter-universal Teichmüller theory (IUT theory) was publicly announced in 2012 by Professor Shinichi Mochizuki from Kyoto University. It is an important theory with numerous new concepts and ideas. The papers on this theory were published in a special issue (https://ems.press/journals/prims/issues/1507) of Publications of RIMS in 2021. The main prerequisite of IUT is algorithmic anabelian geometry, which has been primarily developed in Japan since 1995. Despite significant efforts made between 2015 and 2021, including multiple international IUT workshops that increased the number of IUT experts to over 15 from more than 5 countries, the theory has been unable to follow the usual process of dissemination due to various unfortunate circumstances. As a result, many countries still lack communities of experts in this theory. We are committed to sincerely addressing this situation as our starting point.