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

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

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

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

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

Chang-Yeon Chough, Introduction to algebraic stacks, V, VI

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

Chang-Yeon Chough, Introduction to algebraic stacks, VII, VIII

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

Seung uk Jang, Vieta Involutions on Tropical Markov Cubics

B236-1 IBS, Korea, Republic of

    Speaker Seung uk Jang Université de Rennes 1 We discuss the algebraic dynamics on Markov cubics generated by Vieta involutions, in the tropicalized setting, including some introduction to the tropicalization. It turns out that there is an invariant subset of the tropicalized Markov cubic where the action by Vieta involutions can be modeled

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