2 papers
math.NT2025
p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions
Andrew Graham, Vincent Pilloni, JoaquÃn Rodrigues Jacinto
In this paper, we give a new geometric definition of nearly overconvergent modular forms and -adically interpolate the Gauss-Manin connection on this space. This can be seen as…
math.NT2025
Modularity theorems for abelian surfaces
George Boxer, Frank Calegari, Toby Gee +1
We prove the modularity of a positive proportion of abelian surfaces over . More precisely, we prove the modularity of abelian surfaces which are ordinary at and ar…