The tree of geodesics can have finitely many ends

The study of infinite geodesics in first passage percolation have received a lot of attention since the work of Hoffman (`05) and (`08), Damron and Hanson (`14) and more recently Ahlberg and Hoffman (`16). In this talk we discuss further advances in this topic presenting a family of measures for which it is possible to completely characterize the set of infinite geodesics. This is joint work with Christopher Hoffman.