Minimal model theory for log canonical pairs

Abstract: In this talk, I will discuss recent progress on minimal model theory for log canonical pairs. In the minimal model program(MMP) one can quantify the type of singularities which occur: the simplest MMP-singularities are called “terminal” and the most complex ones are the so-called "log canonical". There are others in between, for example, the "Kawamata log terminal" singularities that are most widely used. I will give an inductive argument of extending results from the Kawamata log terminal pairs to log canonical pairs. Part of this talk is based on joint work with Kenta Hashizume.

Mathematics

Audience: researchers in the topic

ICCM 2020