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Workshop on Moduli, K-stability, Fano varieties, and related topics

IBS Science Culture Center Daejeon, Korea, Republic of

Speakers Arnaud Beauville (University of Nice) Fabrizio Catanese (University of Bayreuth) Thibaut Delcroix (University of Montpellier) Kento Fujita (Osaka University) Young-Hoon Kiem (KIAS) Shigeru Mukai (RIMS, Kyoto University) Yuri Prokhorov (Steklov Mathematical Institute) Constantin Shramov (Steklov Mathematical Institute) Abstracts PDF File Schedule Day 1: May 15 (Monday)   ~10:00 Registration 10:00~11:00 Shigeru Mukai Moduli of …

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Changho Han, Compact Moduli of K3 Surfaces with a Given Nonsymplectic Cyclic Action

B236-1 IBS, Korea, Republic of

    Speaker Changho Han University of Waterloo To construct a moduli space which is itself a compactification of a given moduli space, one needs to enlarge the class of objects in consideration (e.g. adding certain singular curves to the class of smooth curves). After a brief review of the compactifications of the moduli of …

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Sung Gi Park, Kodaira Dimension and Hyperbolicity for Smooth Families of Varieties

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    Speaker Sung Gi Park Harvard University In this talk, I will discuss the behavior of positivity, hyperbolicity, and Kodaira dimension under smooth morphisms of complex quasi-projective manifolds. This includes a vast generalization of a classical result: a fibration from a projective surface of non-negative Kodaira dimension to a projective line has at least …

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Shin-Young Kim, Minimal Rational Curves on Complete Symmetric Varieties

B236-1 IBS, Korea, Republic of

    Speaker Shin-Young Kim IBS-CGP We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents. In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves. We relate these …

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Shinnosuke Okawa, Moduli Space of Semiorthogonal Decompositions

B236-1 IBS, Korea, Republic of

    Speaker Shinnosuke Okawa Osaka University Semiorthogonal decomposition (SOD) is a central notion in the study of triangulated categories. In particular, SODs of the bounded derived category of coherent sheaves of a variety (SODs of the variety, for short) have profound relations to its geometry. In this talk I discuss the moduli functor which …

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Shinnosuke Okawa, Semiorthogonal Decompositions and Relative Canonical Base Locus

B236-1 IBS, Korea, Republic of

    Speaker Shinnosuke Okawa Osaka University Motivated by the DK hypothesis, some years ago I proved that SODs of the derived category of a smooth projective variety are strongly constrained by the base locus of the canonical linear system. In particular, this leads to the indecomposability of the derived category of varieties whose canonical …

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Qifeng Li, Rigidity of Projective Symmetric Manifolds of Picard Number 1 Associated to Composition Algebras

B236-1 IBS, Korea, Republic of

    Speaker Qifeng Li Shandong University To each complex composition algebra A, there associates a projective symmetric manifold X(A) of Picard number 1. The vareity X(A) is closed related with Freudenthal's Magic Square, which is a square starting from the adjiont varieties of F4, E6, E7 and E8. In a recent joint work with …

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Chang-Yeon Chough, Introduction to algebraic stacks, I, II

B236-1 IBS, Korea, Republic of

    Speaker Chang-Yeon Chough Sogang Univ. This is an 8 hours long lecture series on algebraic stacks, which have become an important part of algebraic geometry (for example, in the study of moduli spaces) since Deligne and Mumford established the foundation of the theory of stacks. This crash course will be following roughly "Algebraic …

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Chang-Yeon Chough, Introduction to algebraic stacks, III, IV

B236-1 IBS, Korea, Republic of

    Speaker Chang-Yeon Chough Sogang Univ. This is an 8 hours long lecture series on algebraic stacks, which have become an important part of algebraic geometry (for example, in the study of moduli spaces) since Deligne and Mumford established the foundation of the theory of stacks. This crash course will be following roughly "Algebraic …

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Patrick Brosnan, How Markman Saves the Hodge Conjecture (for Weil Type Abelian Fourfolds) from Kontsevich, I

B236-1 IBS, Korea, Republic of

    Speaker Patrick Brosnan University of Maryland I'll explain what I know about two very interesting pieces of work: (1) Markman's proof of the Hodge conjecture for Weil type abelian fourfolds of discriminant 1. (2) Kontsevich's tropical approach to looking for counterexamples to the Hodge conjecture for Weil type abelian varieties. Then I'll explain …

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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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