Back to Algebraic Geometry Seminar: Spring 2020
Algebraic Geometry Seminar
Date: Wednesday, Jan 8, 2020
Time: 3:30PM - 4:30PM
Location: LCB 222
LCB 225 (Wednesday, special time & place)
Yuchen Liu
Yale
Title |
Discreteness of local volumes |
Abstract |
A few years ago, Chi Li introduced the notion of local volume of Kawamata log terminal (klt) singularities as the minimum normalized volume of valuation. This invariant carries lots of interesting geometric information of the singularity, for instance: it characterizes smooth points; it detects orbifold order of quotient singularities; it is bounded from above by the minimal log discrepancy. In this talk, I will discuss the conjecture that local volumes of klt singularities in a fixed dimension with finite coefficient set has only accumulation point zero. We confirm this conjecture when ambient singularities are bounded. This is a joint work in progress with Jingjun Han and Lu Qi. |
Algebraic Geometry