Dual complex of a singular pair


Chenyang Xu

Beijing International Center of Mathematics Research.


Thursday, March 10, 2016


Talk at 4:30 p.m. in 2-190

Tea at 4:00 p.m in 2-290


Abstract: The topology of an algebraic variety is a central subject in algebraic geometry. Instead of a variety, we consider the topology of a pair (X,D) which is a variety X with a divisor D, but in the coarsest level. More precisely, we study the dual complex defined as the combinatorial datum characterizing how the components of D intersect with each other. We will discuss how to use the minimal model program (MMP) to investigate it. As one concrete application, we will explain how close the dual complex of a log Calabi-Yau pair (X,D) is to a finite quotient of a sphere.

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Posted: February 27, 2016    URL: