代数几何研讨班：On multiplicities of fibers of Fano fibrations

中科院数学与系统科学研究院

数学研究所

代数几何研讨班

报告人：陈国度（西湖大学）

题  目：On multiplicities of fibers of Fano fibrations

时  间：2023.06.01（星期四），14:00-15:00

地  点：南楼 913

摘 要：Let X→Z be a Mori fibre space. McKernan conjectured that the singularities of Z are bounded in terms of the singularities of X. Shokurov independently proposed a more general conjecture in the setting of pairs. In this talk, we may survey some recent progress on Shokurov’s conjecture on the singularities of the base. Then we reduce various conjectures in birational geometry, including Shokurov’s conjecture on the singularities of the base and boundedness conjecture for rationally connected Calabi-Yau varieties, to a conjecture on multiplicities of fibers of Fano fibrations over curves. This is a joint work with Chuyu Zhou.