Shunsuke Sakai (Hiroshima Univ) Title: Classification of parabolic generating pairs of 2-bridge link groups according to Agol Abstract: Ian Agol announced the following statement, generalizing Adamsfs classification theorem of two parabolic generator Kleinian groups; A non-free Kleinian group generated by two parabolic transformations is either a hyperbolic 2-bridge link group or a Heckoid group. (A full poof to this announcement was given by Akiyoshi-Ohshika-Parker-Sakuma-Yoshida.) Moreover, he classified parabolic generating pairs of these groups and announced especially that each hyperbolic 2-bridge link groups has just two such pairs. (An alternative proof to this announcement was given by Aimi-Lee-Sakai-Sakuma.) The purpose of this talk is to explain Agolfs argument for the classification of parabolic generating pairs of hyperbolic 2-bridge link groups.