代数几何研讨班：Recent progress towards Shokurov’s ascending chain condition conjecture for minimal log discrepancies

中科院数学与系统科学研究院

数学研究所

代数几何研讨班

报告人：刘济豪 博士（美国西北大学）

题  目：Recent progress towards Shokurov’s ascending chain condition conjecture for minimal log discrepancies

时  间：2021.07.14（星期三），13:30-15:00

地  点：思源楼 817

摘  要：Shokurov's ascending chain condition (ACC) conjecture for minimal log discrepancies (mlds) is a core conjecture in birational geometry and has a deep relationship with the minimal model program. In particular, in 2004, Shokurov shows that the ACC conjecture and the lower-semicontinuity conjecture for mlds will imply the termination of flips and will thus complete the minimal model program. In this talk, I will discuss some recent progress towards Shokurov's ACC conjecture and some related questions. Some parts of this talk are joint works with Jingjun Han, V.V. Shokurov, Liudan Xiao, and Lingyao Xie.