Abstract: | Rigidity properties are among the fundamental phenomena in Complex Analysis and Geometry of several variables, that study the global extension and uniqueness for various holomorphic objects up to certain group actions. In this talk, we discuss a new rigidity property for local volume preserving maps between Hermitian symmetric spaces of compact type along the lines of recent work of Clozel-Ullmo and Mok-Ng. This is based on a joint work with X. Huang and M. Xiao. |