Aaron Silberstein (Harvard/Penn) The Birational Anabelian Theorem for Surfaces over Q-bar Abstract: We will present the method of Anabelian intersection theory introduced in the speaker's thesis, and use it to understand Anabelian phenomena over Q-bar. We obtain as a corollary an explicit construction of, for any number field K, a field F such that Out_cont(G_F) = G_K.