Sigel units and Euler systems

Joint IAS/Princeton University Number Theory Seminar
Topic:Sigel units and Euler systems
Speaker:Antonio Lei
Affiliation:McGill University
Date:Thursday, February 27
Time/Room:4:30pm - 5:30pm/Fine 214, Princeton University

An Euler system is a family of cohomology classes that satisfy some compatibility condition under the corestriction map. Kato constructed an Euler system for a modular form over the cyclotomic extensions of \(\mathbb{Q}\). I will explain a recent joint work with David Loeffler and Sarah Zerbes where we generalize Kato's work to construct an Euler system for the Rankin-Selberg convolution of two modular forms. I will also explain how a similar construction is possible for a modular form over ray class fields of an imaginary quadratic field.