Simultaneous non-vanishing of L-functions at the central point

In this talk, I will focus on simultaneous non-vanishing results for Dirichlet L-functions at the central point 1/2. Specifically, I will describe how to obtain a positive proportion of simultaneous non-vanishing result for four L-functions as we vary over characters \chi modulo q, conditional on GRH. This is based on joint work with Bui-Milinovich.