Spring 2020

Regular meeting time: Wednesdays 2:00-3:00
Online

Date	Speaker	Title and Abstract
September 17, 23, 30	Jingjun Han Johns Hopkins University	Title: The ACC for local volumes and boundedness of singularities (1-3) Abstract: Kawamata log terminal (klt) singularities form an important class of singularities due to its fundamental roles in MMP, Kahler-Einstein geometry, and K-stability. Recently, Chi Li invented a new invariant called the local volume of a klt singularity which encodes lots of interesting geometric and topological information. A folklore conjecture predicts that local volumes satisfy the ascending chain condition (ACC) when the coefficients of the boundary divisors belong to a DCC set. In this talk, we will show the ACC conjecture for local volumes holds when the ambient variety is fixed. We will also explore the relation between log canonical thresholds, local volumes, and delta-plt blow-ups. This is based on ongoing joint work with Yuchen Liu and Lu Qi.
October 7	Guodu Chen Peking University
October 14, 21, 28	V.V. Shokurov Johns Hopkins University
November 4	Yifei Chen Chinese Academy of Sciences