Fine Selmer group of elliptic curves

Abstract: The (p-infinity) fine Selmer group (also called the 0-Selmer group) of an elliptic curve is a subgroup of the usual p-infinity Selmer group of an elliptic curve and is related to the first and the second Iwasawa cohomology groups. Coates-Sujatha observed that the structure of the fine Selmer group over the cyclotomic Z_p extension of a number field K is intricately related to Iwasawa's \mu-invariant vanishing conjecture on the growth of p-part of the ideal class group of K in the cyclotomic tower. In this talk, we will discuss the structure and properties of the fine Selmer group over certain p-adic Lie extensions of global fields. This talk is based on joint work with Sohan Ghosh and Sudhanshu Shekhar.

number theory

Audience: researchers in the topic

Algebra and Number Theory Seminars at Université Laval