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On numerical nonvanishing for generalized log canonical pairs

Friday, March 15th, 2019, 1:00 PM  闵行数学楼402报告厅
Abstract: The notion of generalized polarized pairs was introduced by Birkar and Zhang to deal with the effectivity of Iitaka fibration. Its prototype already appeared in the treatment of the canonical bundle formula for elliptic fibrations. The notion has since found more and more applications in solving problems for usual pairs. In the other direction, efforts have been made by several authors to extend results about pairs to the generalized setting. In this talk, after introducing the basic definitions of generalized polarized pairs, I will report on a recent joint work with HAN Jingjun on the (numerical) nonvanishing conjecture for generalized log canonical pairs.
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