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Pacific Rim Complex and Symplectic Geometry Conference

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 …

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Sheng Meng, On Surjective Endomorphisms of Projective Varieties

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 …

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Chuyu Zhou, Lecture 1: Constructible Properties of Various Domains for a Family of Couples

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 …

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Chuyu Zhou, Lecture 2: Non-linear Wall Crossing Theory

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 …

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Xiaojun Huang, Bounding a Levi-flat Hypersurface in a Stein Manifold

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 …

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Changho Han, Trigonal Curves and Associated K3 Surfaces

B236-1 IBS, Korea, Republic of

    Speaker Changho Han Korea university K3 surfaces, as a generalization of elliptic curves, have a rich amount of geometric properties. Recalling that elliptic curves are double covers of rational curves branched over 4 distinct points, there are K3 surfaces that are cyclic triple covers of rational surfaces; Artebani and Sarti classified such generic …

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Justin Lacini, On Log del Pezzo Surfaces in Positive Characteristic

B236-1 IBS, Korea, Republic of

    Speaker Justin Lacini Princeton university A log del Pezzo surface is a normal surface with only Kawamata log terminal singularities and anti-ample canonical class. Over the complex numbers, Keel and McKernan have classified all but a bounded family of log del Pezzo surfaces of Picard number one. In this talk we will extend …

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David Sykes, CR Hypersurfaces, Studying 2-nondegenerate Structures via Absolute Parallelisms

B236-1 IBS, Korea, Republic of

    Speaker David Sykes IBS CCG The basic problem of finding (local) biholomorphisms mapping one real hypersurface in a complex space onto another is only well understood for a limited class of hypersurfaces, and has a fundamental relationship to their induced CR geometries. Following a light historical survey of major results in the area, …

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Naoto Yotsutani, Bott Manifolds with the Strong Calabi Dream Structure

B236-1 IBS, Korea, Republic of

    Speaker Naoto Yotsutani Kagawa university We prove that if the Futaki invariant of a polarized Bott manifold (X, L) for any ample line bundle L vanishes, then X is isomorphic to the products of the projective lines. This talk is based on a work joint with Kento Fujita (algebro-geometrical approach), and another independent …

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Giancarlo Urzua, The Birational Geometry of Markov Numbers

B236-1 IBS, Korea, Republic of

    Speaker Giancarlo Urzua Pontificia Universidad Catolica de Chile The projective plane is rigid. However, it may degenerate to surfaces with quotient singularities. After the work of Bădescu and Manetti, Hacking and Prokhorov 2010 classified these degenerations completely. They are Q-Gorenstein partial smoothings of P(a2, b2, c2), where a, b, c satisfy the Markov …

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Izzet Coskun, The Geometry of Moduli Spaces of Sheaves on P2

B236-1 IBS, Korea, Republic of

    Speaker Izzet Coskun University of Illinois Chicago In this talk, I will explain how to use Bridgeland stability conditions to compute the ample and effective cones of moduli spaces of sheaves on the projective plane. I will describe the birational geometry of these moduli spaces and give applications to the higher rank interpolation …

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Izzet Coskun, The Higher Rank Brill-Noether Problem on Surfaces

B236-1 IBS, Korea, Republic of

    Speaker Izzet Coskun University of Illinois Chicago In this talk, I will explain how to use Bridgeland stability conditions to compute the cohomology of a general stable sheaf on a K3 or abelian surface. This talk is based on joint work with Howard Nuer and Kota Yoshioka.

IBS 복소기하학연구단 Center for Complex Geometry
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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