Arithmetic Study Group: Mochizuki theory: the flow of reconstruction
18 October 2016 13:00 in CM105
The theory of Shinichi Mochizuki is viewed as the most fundamental development in mathematics for several decades. Its revolutionary conceptual viewpoints drastically extend the range of methods in number theory outside traditional ring-theoretical studies, initiate new important connections between group theory and number theory and open a large territory of potential applications. It provides new group-theoretic links between arithmetic and geometry of elliptic curves over number fields and associated hyperbolic curves. I will discuss some of these aspects.