Chennai Mathematical Institute


Overconvergent modular symbols
Baskar Balasubramanyam


The notion of modular symbols was first introduced by Manin. We state some basic results which relate modular symbols to special values of L-functions and p-adic L-functions. We give Greenberg and Stevens construction of an overconvergent modular symbols which is a measure valued cohomology class attached to a Hida family of modular forms with certain interpolation properties. We will construct the Mazur-Kitagawa two variable p-adic L-function from the overconvergent modular symbol.