This document summarizes a colloquium on digital signatures presented by Prashant Shekhar. It introduces digital signatures as a way to authenticate electronic documents through a mathematical scheme. It discusses how digital signatures work using public and private keys along with digital certificates from a certification authority. The document also outlines some applications of digital signatures like email, data storage, funds transfer, and software distribution. It concludes by noting advantages like authentication, integrity, and non-repudiation, as well as disadvantages such as expiration of certificates and costs of software.