Generalized Sarkisov Program
Time: 2017-11-23
Published By: Meng Yu
Speaker(s): Jihao Liu (University of Utah)
Time: 10:30-11:30 December 25, 2017
Venue: Room 82J04, Jiayibing Building, Jingchunyuan 82, BICMR
Abstract: The Sarkisov program was first introduced by Sarkisov and was developed by Corti Bruno-Matsuki in order to study the relationship between "Sarkisov related" Mori fiber spaces, which plays an important role in the minimal model program.
It is a natural question to ask whether two Q-factorial KLT pairs that are Sarkisov related are connected by a finite sequence of Sarkisov links. A paper of Hacon and Mckernan in 2009 gives us a positive answer.
In recent years, it has become clear that it is important to study birational geometry in the context of generalized log canonical (GLC for short) pairs or generalized Kawamata log terminal (GKLT for short) pairs. In this talk, we generalized the result of Hacon and Mckernan to GKLT pairs.
It is a natural question to ask whether two Q-factorial KLT pairs that are Sarkisov related are connected by a finite sequence of Sarkisov links. A paper of Hacon and Mckernan in 2009 gives us a positive answer.
In recent years, it has become clear that it is important to study birational geometry in the context of generalized log canonical (GLC for short) pairs or generalized Kawamata log terminal (GKLT for short) pairs. In this talk, we generalized the result of Hacon and Mckernan to GKLT pairs.
