Shigeru Mukai, Fano 3-folds, Lagrangian Fibration and Leech-K3 Geometry I
B236-1 IBS, Korea, Republic ofSpeaker Shigeru Mukai RIMS, Kyoto University PDF file
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Shigeru Mukai, Fano 3-folds, Lagrangian Fibration and Leech-K3 Geometry II
B236-1 IBS, Korea, Republic ofSpeaker Shigeru Mukai RIMS, Kyoto University PDF file
Shigeru Mukai, Fano 3-folds, Lagrangian Fibration and Leech-K3 Geometry III
B236-1 IBS, Korea, Republic ofSpeaker Shigeru Mukai RIMS, Kyoto University PDF file
Changho Han, Compact Moduli of K3 Surfaces with a Given Nonsymplectic Cyclic Action
B236-1 IBS, Korea, Republic ofSpeaker 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 …
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 …
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 …
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 …
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 …
Seung uk Jang, Vieta Involutions on Tropical Markov Cubics
B236-1 IBS, Korea, Republic ofSpeaker 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 …