Sarah Zerbes (UCL)
Euler systems for Rankin-Selberg convolutions and generalisations

Abstract: I will give an overview of my work with Antonio Lei, David Loeffler and Guido Kings about the construction of an Euler system for Rankin-Selberg convolutions of modular forms and its arithmetic applications. I will then discuss generalisations of this approach for constructing Euler systems for more general reductive groups. This is work in progress with David and Chris Skinner.