Back to Algebraic Geometry Seminar: Spring 2019
Algebraic Geometry Seminar
Date: Tuesday, Mar 26, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
Jihao Liu
University of Utah
Title |
Boundedness of complements for pairs with DCC coefficients |
Abstract |
Shokurov introduced the theory of complements while he investigated log flips of threefold. The theory is further developed by Prokhorov-Shokurov and Birkar. As one of the key steps in the proof of BAB conjecture, Birkar showed a conjecture of Shokurov, i.e., the existence of n-complements for Fano pairs with hyperstandard coefficients. In this talk, I will show that the boundedness of complements holds for pairs with DCC coefficients, and have some additional properties: divisibility, rationality, approximation, and anisotropic. If there’s still enough time, I will show some of its applications on the ACC for minimal log discrepancies. This is a joint work with J.Han and V.V.Shokurov. |
Algebraic Geometry