Computing p-adic L-functions of Hecke characters

11 October 2021
Håvard Damm-Johnsen

In 1973, Serre defined $p$-adic modular forms as limits of modular forms, and constructed the Leopoldt-Kubota $L$-function as the constant term of a limit of Eisenstein series. This was extended by Deligne-Ribet to totally real number fields, and Lauder and Vonk have developed an algorithm for interpolating $p$-adic $L$-functions of such fields using Serre's idea. We explain what an $L$-function is and why you should care, and then move on to giving an overview of the algorithm, extensions, and applications.

The join button will be published on the right (Above the view all button) 30 minutes before the seminar starts (login required).

  • Junior Number Theory Seminar