Guolei Zhong, Strictly Nef Divisors on Singular Varieties

A Q-Cartier divisor on a normal projective variety is said to be strictly nef, if it has positive intersection with every integral curve. It has been a long history for people to measure how far a strictly nef divisor is from being ample. In this talk, I will survey some recent progress on this topic, especially the generalizations of Campana-Peternell’s conjecture and Serrano’s conjecture. My talk is based on some joint works with Jie Liu, Wenhao Ou, Juanyong Wang and Xiaokui Yang.