Minseong Kwon, Introduction to Grauert Tubes
B236-1 IBS, Korea, Republic ofSpeaker Minseong Kwon KAIST TBA
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Sung Gi Park, Kodaira Dimension and Hyperbolicity for Smooth Families of Varieties
on-lineSpeaker 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 …
Shin-Young Kim, Minimal Rational Curves on Complete Symmetric Varieties
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Shinnosuke Okawa, Moduli Space of Semiorthogonal Decompositions
B236-1 IBS, Korea, Republic ofSpeaker 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 ofSpeaker 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 …
Qifeng Li, Rigidity of Projective Symmetric Manifolds of Picard Number 1 Associated to Composition Algebras
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Chang-Yeon Chough, Introduction to algebraic stacks, I, II
B236-1 IBS, Korea, Republic ofSpeaker 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 ofSpeaker 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 …
Patrick Brosnan, How Markman Saves the Hodge Conjecture (for Weil Type Abelian Fourfolds) from Kontsevich, I
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Patrick Brosnan, How Markman Saves the Hodge Conjecture (for Weil Type Abelian Fourfolds) from Kontsevich, II
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Chang-Yeon Chough, Introduction to algebraic stacks, V, VI
B236-1 IBS, Korea, Republic ofSpeaker 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 ofSpeaker 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 …