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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208: Seminar in Algebraic Geometry
Dr. Jihao Liu
School of Mathematical Sciences, Peking University
On the termination of flips for varieties of general type
Abstract:
Termination of flips is a central question in birational geometry and the minimal model program. In this talk, I will discuss recent progress on the termination of flips for varieties X of general type—that is, when the canonical divisor $K_X$ is big. Our main result shows that many birational invariants, particularly the local volume (normalized volume), are bounded under any sequence of steps of general type MMPs. As a consequence, we prove the termination of flips for five folds of general type. This is joint work with Jingjun Han, Lu Qi, and Ziquan Zhuang.
Host: James McKernan
September 29, 2025
4:00 PM
APM 7218
Research Areas
Algebraic Geometry****************************
