北京雁栖湖应用数学研究院

This course provides an accessible introduction to Iwasawa theory, primarily based on the textbook Cyclotomic Fields and Zeta Values by J. Coates and R. Sujatha. We will present the simplest proof of the "main conjecture" for cyclotomic fields, illustrating the profound link between the special values of zeta and L-functions and purely arithmetic expressions. If time permits, we will introduce more examples concerning "main conjectures".