Summer Number Theory Day; Session 4 – Derivatives of p-adic L-functions

We will discuss a new approach to proving the Ferrero-Greenberg formula for the derivative of a Kubota-Leoplodt p-adic L-function at s=0. The aim is to provide a proof which uses two-variable p-adic L-functions in a manner analogous to the Greenberg-Stevens proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves. In the Kubota-Leopldt setting, we use the Katz two-variable p-adic L-function attached to an imaginary quadratic field K. This is joint work with Ralph Greenberg and Shaowei Zhang.

Speaker Details

Benjamin Lundell is Acting Assistant Professor at the University of Washington. His primary research interests lie in algebraic number theory specifically the study of modular forms and Galois representations. Before coming to Washington, he studied at Cornell University, under the supervision of Ravi Ramakrishna, the University of Cambridge, and the University of Illinois at Urbana-Champaign.

Date:
Speakers:
Benjamin Lundell
Affiliation:
University of Washington