KSCV Workshop #26

Speakers

Taeyong Ahn (Inha University)
Ye-Won Luke Cho (Pusan National University)
Young-Jun Choi (Pusan National University)
Pham Hoang Hiep (Vietnam Academy of Science and Technology)
Dinh Tuan Huynh (Hue University of Education-Hue University)
Łukasz Kosiński (Jagiellonian University)
Kang-Hyurk Lee (Gyeongsang National University)
Man-Chun Lee (The Chinese University of Hong Kong)
Hoseob Seo (Institute for Basic Science)
Guolei Zhong (Institute for Basic Science)

Abstracts

PDF File

Schedule

Day 1: August 16 (Wednesday)

~10:00 Registration
10:00~11:00 Kang-Hyurk Lee
The method of potential rescaling and a characterization of the unit ball
11:00~11:30 Coffee Break
11:30~12:30 Dinh Tuan Huynh (online)
Universal entrie curves in projective spaces with slow growth
12:30~14:30 Lunch
14:30~15:30 Taeyong Ahn
Equidistribution of positive closed currents on a compact Kähler manifold
15:30~16:00 Coffee Break
16:00-17:00 Guolei Zhong
Compact Kähler threefolds with the action of an abelian group of maximal dynamical rank
18:00~20:00 Speakers Dinner

 

Day 2: August 17 (Thursday)

10:00~11:00 Young-Jun Choi
An injectivity theorem on snc compact Kähler spaces
11:00~11:30 Coffee Break
11:30~12:30 Pham Hoang Hiep (online)
Singularity invariants of plurisubharmonic functions
12:30~14:30 Lunch
14:30~15:30 Man-Chun Lee
Kähler-Ricci flow on non-compact manifolds and application
15:30~16:00 Coffee Break
16:00-17:00 Ye-Won Luke Cho
Continuity of singular Kähler-Einstein potentials
17:30-19:00 Banquet

 

Day 3: August 19 (Friday)

10:00~11:00 Hoseob-Seo
Ohsawa measures on singular hypersurfaces and its applications
11:00~11:30 Coffee Break
11:30~12:30 Łukasz Kosiński
A Gehring-Hayman inequality

Organizers

Dano Kim (Seoul National University)
Sung-Yeon Kim (Institute for Basic Science)
N. Cuong Nguyen (Korea Advanced Institute of Science and Technology)
Aeryeong Seo (Kyungpook National University)

Venue

B109, IBS, Korea

Registration

Please submit Google form by July 28.

More Information

How to get to IBS-CCG
From Hotel to IBS
IBS Cafeteria (Lunch)

Participants

Sui-Chung Ng (East China Normal University)
Bou Kang (KAIST)
Mario Chan (Pusan National University)
Jisoo Byun (Kyungnam University)
Hoseob Seo (Institute for Basic Science)
Sungmin Yoo (Incheon National University)
Seungjae Lee (Institute for Basic Science)
Han-Wool Lee (Korea University)
Hanjin Lee (Handong Global University)
Jiwon Jeong (Pusan National University)
Ye-Won Luke Cho (Pusan National University)
Boo Rim Choe (Korea University)
Hyunil Choi (Pusan National University)
Jihun Yum (Institute for Basic Science)
Kang-Hyurk Lee (Gyeongsang National University)
Do young Choi (KAIST)
Kang-Tae Kim (POSTECH)
Chiwon Yoon (KAIST)

Supported by Institute for Mathematical Convergence, KNU

Hoseob Seo, On L2 Extension from Singular Hypersurfaces

    Speaker

Hoseob Seo
IBS CCG

In L2 extension theorems from a singular hypersurface in a complex manifold, important roles are played by certain measures such as the Ohsawa measure which determine when a given function can be extended. We show that the singularity of the Ohsawa measure can be identified in terms of singularity of pairs from algebraic geometry. Using this, we give an analytic proof of the inversion of adjunction in this setting. Then these considerations enable us to compare various positive and negative results on L2 extension from singular hypersurfaces. In particular, we generalize a recent negative result of Guan and Li which places limitations on strengthening such L2 extension by employing a less singular measure in the place of the Ohsawa measure. This is joint work with Dano Kim.

Hoseob Seo, On L2 Extension from Singular Hypersurfaces

     Speaker

Hoseob Seo
IBS CCG
In L2 extension theorems from an irreducible singular hypersurface in a complex manifold, important roles are played by certain measures such as the Ohsawa measure, which determines when a given function can be extended. In this talk, we show that the singularity of the Ohsawa measure can be identified in terms of algebraic geometry.
Using this, we give an analytic proof of the inversion of adjunction in this setting. These considerations enable us to compare various positive and negative results on L2 extension from singular hypersurfaces. In particular, we generalize a recent negative result of Guan and Li which places limitations on strengthening such L2 extension by employing a less singular measure in the place of the Ohsawa measure. This is joint work with Dano Kim.

Hoseob Seo, On Singularities of Toric Plurisubharmonic Funcitons

     Speaker

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.

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