Center for Complex Geometry

Pacific Rim Complex and Symplectic Geometry Conference
2024-07-29 - 2024-08-02 | IBS Science Culture Center, Daejeon, Korea, Republic of
Invited Speakers
Dongwook Choa (KIAS, Seoul)
Young-Jun Choi (Pusan National Univ.)
Siarhei Finski (École Polytechnique)
Hervé Gaussier (Univ. Grenoble-Alpes)
Masafumi Hattori (Kyoto Univ.)
Siqi He (AMSS, Beijing)
Ludmil Katzarkov (Univ. Miami)
Yusuke Kawamoto (ETH, Zurich)
Takayuki Koike (Osaka Metropolitan Univ.)
Yu-Shen Lin (Boston Univ.)
George Marinescu (Univ. Köln)
Yuichi Nohara (Meiji Univ.)
Semon Rezchikov (Princeton Univ.)
Harish Seshadri (Indian Inst. Science)
Rasul Shafikov (Univ. Western Ontario)
Li-Sheng Tseng (U.C. Irvine)
Seungook Yu (Postech)
Jihun Yum (Gyeongsang National Univ.)
Ruobing Zhang (Princeton Univ.)
Andrew Zimmer (Univ. Wisconsin)
Abstracts
PDF file
Schedule
July 29 (Monday)
(Morning session chaired by Jun-Muk Hwang)
10:00-11:00 Marinescu
11:20-12:20 Choi
12:30-14:00 Lunch
(Afternoon session chaired by Dano Kim)
14:00-15:00 Nohara
15:15-16:15 Gaussier
16:30-17:30 Yum
July 30 (Tuesday)
(Morning session chaired by Kaoru Ono)
10:00-11:00 Seshadri
11:20-12:20 Kawamoto
12:30-14:00 Lunch
(Afternoon session chaired by Yong-Geun Oh)
14:00-15:00 Rezchikov
15:15-16:15 Yu
16:30-17:30 Choa
18:00-20:00 Banquet
July 31 (Wednesday)
(Morning session chaired by Kengo Hirachi)
10:00-11:00 Koike
11:20-12:20 Zhang
12:30-14:00 Lunch
Free Afternoon
August 1 (Thursday)
(Morning session chaired by Jae-cheon Joo)
10:00-11:00 Zimmer
11:20-12:20 Lin
12:30-14:00 Lunch
(Afternoon session chaired by Kyoung-Seog Lee)
14:00-15:00 Katzarkov
15:15-16:15 Finski
16:30-17:30 Tseng
August 2 (Friday)
(Morning session chaired by Sungyeon Kim)
9:30-10:30 He
10:40-11:40 Hattori
11:50-12:50 Shafikov
12:50-14:00 Lunch
Scientific Committee
Xiuxiong Chen (Stony Brook Univ.)
Kengo Hirachi (Univ. Tokyo)
Jun-Muk Hwang (IBS-CCG)
Yong-Geun Oh (IBS-CGP & POSTECH)
Kaoru Ono (RIMS, Kyoto)
Yongbin Ruan (Zhejiang Univ.)
Organizing Committee
Jun-Muk Hwang (IBS-CCG)
Sungyeon Kim (IBS-CCG)
Yong-Geun Oh (IBS-CGP & POSTECH)
Venue
IBS Science Culture Center, Daejeon, Korea
Registration
Please submit Google form.
More Information
• How to get to IBS-CCG

Sheng Meng, On Surjective Endomorphisms of Projective Varieties
2024-08-06 14:00 - 15:00 (Asia/Seoul) | B236-1, IBS, Korea, Republic of
Speaker

Sheng Meng
East China Normal University

Let X be a normal projective variety over C. Let f be a surjective endomorphism of X. In this talk, I will try to explain our current program on the classification and the building blocks of (f, X), involving two main tools: equivariant minimal model program and dynamical Iitaka fibration. Two applications on the Kawaguchi-Silverman conjecture and the Zariski dense orbit conjecture will be given. This is based on several joint works with Junyi Xie, De-Qi Zhang and Guolei Zhong.

Chuyu Zhou, Lecture 1: Constructible Properties of Various Domains for a Family of Couples
2024-08-06 16:00 - 17:30 | B236-1, IBS, Korea, Republic of
Speaker

Chuyu Zhou
Yonsei University

In this lecture, I will recall some basic knowledge on K-stability and some background on wall crossing in proportional setting. Then we plan to conduct a comparison between proportional case and non-proportional case. Under the comparison, we will define several domains associated to a family of couples and present their constructible properties.

Chuyu Zhou, Lecture 2: Non-linear Wall Crossing Theory
2024-08-07 16:00 - 17:30 | B236-1, IBS, Korea, Republic of
Speaker

Chuyu Zhou
Yonsei University

In this lecture, we will talk about two properties of K-semistable domains in non-proportional setting. One is the finiteness criterion, which states that the number of domains is finite for a family of couples. The other is about the shape of each domain, which states that they are semi-algebraic sets. These two properties together lead to a satisfactory wall crossing theory for K-stability in non-proportional case. Time permits, I will present a comparison between GIT-stability and K-stability in non-proportional setting.

Xiaojun Huang, Bounding a Levi-flat Hypersurface in a Stein Manifold
2024-08-22 16:00 - 17:00 | B236-1, IBS, Korea, Republic of
Speaker

Xiaojun Huang
Rutgers Univ

Let M be a smooth real codimension two compact submanifold in a Stein manifold. We will prove the following theorem: Suppose that M has two elliptic complex tangents and suppose CR points are non-minimal. Assume further that M is contained in a bounded strongly pseudoconvex domain. Then M bounds a unique smooth up to M Levi flat hypersurface M̂ that is foliated by Stein subspace diffeomorphic to the ball. Moreover, M̂ is the hull of holomorphy of M. This subject has a long history of investigation from E. Bishop and Harvey-Lawson. I will discuss both the history and techniques used in the proof of the above mentioned theorem.
