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Hoseob Seo, On Singularities of Toric Plurisubharmonic Funcitons

June 2 @ 4:00 pm - 5:00 pm KST

B266, IBS Korea, Republic of


Hoseob Seo
Research Institute of Mathematics, Seoul National University

In this talk, we discuss recent progresses on singularities of toric plurisubharmonic functions. First, we review the notion of Newton convex bodies of toric plurisubharmonic functions on a polydisk D(0,r) ⊂ Cn. As an application, we show that the cluster points of jumping numbers of J(φ)0 are not accumulated and give a precise characterization of the set of those cluster points. These generalize a recent result of Kim and Seo from n = 2.

On the other hand, we extends a result by Guan, which proved when toric plurisubharmonic functions of the form log(∑ |z|ai) have a decreasing equisingular approximation with analytic singularities. We give a criterion for the existence of a decreasing equisingular toric approximation with analytic singularities for a given toric plurisubharmonic function. This is a joint work with Jongbong An.


June 2
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Sungyeon Kim
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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