Iwasawa theory is a branch of number theory that investigates the intricate relationship between arithmetic objects and p-adic analytic functions along an infinite tower of global fields. Originally developed to study the class groups of number fields, the theory has significantly evolved over recent decades and now encompasses profound connections to Galois representations arising from elliptic curves, modular forms, and, more broadly, motives. Iwasawa theory plays a pivotal role in modern arithmetic geometry, particularly in understanding the special values of L-functions.

The Iwasawa Theory Taipei Summer School, to be held between 25th to 28th June, 2025 (a week before Iwasawa 2025), will consist of four lecture series by number theorists working in the field of Iwasawa theory. It is designed as an introduction to some foundational aspects of Iwasawa theory and some of its lines of current research.