Prof. Paolo Cascini - On the Minimal Model for algebraically integrable foliations

  • 23 March 2022
  • 15:00 - 16:00
  • SCH.1.05

Presented by Professor Paolo Cascini (Imperial)

Every fibration, or more in general, every dominant rational map between normal varieties, defines a natural foliation, which is called algebraically integrable. The canonical sheaf of such a foliation behaves, in many aspects, as the canonical sheaf of a normal variety. I will describe some recent results in this direction, such as a cone theorem, and some applications on the canonical bundle formula. In particular, this provides a proof of a conjecture by Shokurov.

This is joint work with Ambro, Shokurov and Spicer.  

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