p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions

Andrew Graham, Vincent Pilloni, Joaquín Rodrigues Jacinto

In this paper, we give a new geometric definition of nearly overconvergent modular forms and $p$-adically interpolate the Gauss-Manin connection on this space. This can be seen as…