Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	陈国度,西湖大学
Inviter:	刘杰
Title:	On multiplicities of fibres of Fano fibrations
Language:	Chinese&English
Time & Venue:	2023.06.01 14:00-15:00 N913
Abstract:	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.