Seminar

Let K be a number field and let V be a continuous p-adic representation of the absolute Galois group of K. The Iwasawa main conjectures attach arithmetic significance to the special values of the p-adic L-function attached to V (assuming one exists). Euler systems are a powerful tool for proving such conjectures. Constructing Euler systems is a difficult problem, though, and examples exist only for a small handful of representations. In this talk we discuss applications of a new method for constructing Euler systems, first pioneered by Sangiovanni and Skinner.