  We interpolate the Gauss-Manin connection in p-adic families of nearly
overconvergent modular forms. This gives a family of Maass-Shimura type
differential operators from the space of nearly overconvergent modular forms of
type r to the space of nearly overconvergent modular forms of type r + 1 with
p-adic weight shifted by 2. Our construction is purely geometric, using
Andreatta-Iovita-Stevens and Pilloni's geometric construction of eigencurves,
and should thus generalize to higher rank groups.
