Colloquium DATE 2019-11-14¡@15:10-16:00 PLACE ¼Æ¾ÇÀ]3174±Ð«Ç SPEAKER Åv·~µ½½d (Yoshinori Gongyo) °Æ±Ð±Â¡]University of Tokyo¡^ TITLE A Generalization of Batyrev¡¦s Cone Conjecture ABSTRACT We discuss a generalization of Batyrev's cone conjecture for curves moving in co dimension $l$. Thus we propose the cone conjecture integrating Mori's cone theorem and the Batyrev's cone conjecture. Moreover we prove a weak version of this conjecture by proving some rationality theorem. This is a work in progress with Sung Rak Choi.