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：陈国度 博士（北京大学）
题目：Boundedness of ($\epsilon, n$)-complements for surfaces
时间：2021年1月14日（星期四），9：00-10：00
地点：N602
摘要：Shokurov's program, also known as the theory of complements, is introduced by Shokurov when he proved the existence of flips for threefolds. In this talk, I will introduce Shokurov's conjecture on the boundedness of $\epsilon$-log canonical complements, and then show some applications. Next, we go to the boundedness of log canonical complements which is established by Birkar and Han-Liu-Shokurov. Finally, I will give a sketch of the proof of the conjecture for surfaces. This is a joint work with Jingjun Han.
报告人：罗宇杰 博士（Johns Hopkins University, USA）
题目：On boundedness of divisors computing minimal log discrepancies for surfaces
时间：2021年1月14日（星期四），10：15-11：15
地点：N602
摘要：In this talk, we will briefly introduce our recent result: for any lc surface singularity $(X\ni x, B)$ whose boundary coefficients belong to afixed DCC set, we can find an exceptional divisor E that computes its minimal log discrepancy, such that E is uniformly bounded, in the sense that a(E,X,0) <= N for some positive integer N depending only on the DCC set. This is joint work with Jingjun Han.
