| Résume | In the last decade, different authors have broadened the theory of p-adic L-functions and diagonal cycles for triple products of GL(2), and have established the so-called explicit reciprocity law relating both objects. After the development of higher Hida and Coleman theory by Pilloni and his coauthors, Loeffler and Zerbes proposed a systematic approach to emulate the GL(2) theory within the framework of GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2). In this richer situation, one expects to obtain different kinds of p-adic L-functions and Euler systems. The objective of this presentation is to provide an overview of the general landscape and to delve into specific contributions related to the construction of one of the p-adic L-functions. This is based on joint work with David Loeffler. |
