16:00
Anticyclotomic Euler systems and Kolyvagins' methods
Abstract
I will explain a formalism for anticyclotomic Euler systems for a large class of Galois representations and explain how to prove analogs of Kolyvagins' celebrated "rank one" results. A novelty of this approach lies in the use of primes that split in the CM field. This is joint work with Dimitar Jetchev and Jan Nekovar. I will also describe some higher-dimensional examples of such Euler systems.
16:00
Revisiting the Euler system for imaginary quadratic fields
Abstract
I will explain how to construct an Euler system for imaginary quadratic fields using Eisenstein series and their cohomology classes. This illustrates a template for a construction that should yield many new Euler systems.
Please join us for the annual Pride event hosted by SPECTRA, our departmental LGBTQ+ network.
Wednesday, 07 June, 12:00 - 14:00, Café Pi
Come chat and unwind with folks from MPLS, Philosophy, and Humanities. Bring along friends and allies to celebrate our LGBTQ+ students and colleagues. Participate in some optional relaxed crafting activities and speak with an organiser on the day to get a voucher for a Pride-inspired lunch at Café Pi.