Overconvergent Eichler-Shimura isomorphisms for Shimura curves..

We will discuss the p-adic variation of the Eichler-Shimura isomorphism in the context of Shimura curves over totally real number fields. In particular, we describe the finite slope part of the space of overconvergent modular symbols in terms of the finite slope part of the space of overconvergent modular forms. This is joint work with Shan Gao.