Title:
Euler systems for p-adic Galois representations and bounds on Selmer
groups
Abstract:
For a nice p-adic Galois representation of a number field, we define the
notion of a Selmer structure and an Euler system, which can be used to
bound the order of the dual Selmer group under certain hypotheses.
Examples are the Euler system of cyclotomic units and Kato's Euler system.
In the next and final talk, we describe the modifications needed for the
anticyclotomic Euler system of Heegner points used to prove BSD(E,p) for
almost all p.