Title: The canonical bundle formula in positive characteristic

Speaker: Marta Benozzo

Abstract: An important problem in birational geometry is trying to relate in a meaningful way the canonical bundles of the source and the base of a fibration. Classically, results in this direction have been established only thanks to Hodge theory which is a tool we cannot use over fields of positive characteristic. However, recently the problem has been approached using ideas from the minimal model program. We can take inspiration from these methods to prove a canonical bundle formula result in positive characteristic. This is work in progress.

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