Gauss-Manin connections for p-adic families of nearly overconvergent modular forms

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.Comment: Final version accepted for publication in the Annales de l'Institut Fourier. Minor revisions. 11 page

On the Innovation of Color Painting Art in Modern Pseudo-Classic Architecture

Color painting art in modern pseudo-classic architecture is the inheritance and development of traditional architectural color painting. It can effectively enhance the cultural connotation and external temperament of pseudo-classic architecture and is one of the important visual art approaches to inherit Chinese civilization. Based on the analysis of the present problems of color painting art in pseudo-classic architecture such as the skill heritage, theoretical research, creativity implementation, and professional talents and so on, the article proposes to create six new approaches from the aspect of style, content theme, color performance, materials and techniques, theoretical confidence, and personnel training