복소기하학연구단
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Speaker Yen-An Chen KIAS For Fano varieties, significant progress has been made recently in the study of K-stability, while the understanding of the weaker but more algebraic concept of $(−K)$-slope stability remains intricate. For instance, a conjecture attributed to Iskovskikh states that the tangent bundle of a Picard rank one Fano manifold is … |
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Speaker Taiki Takatsu Tokyo University of Science We will discuss Mukai’s conjecture that the virtual cohomological dimension of the automorphism group of a K3 surface is equal to the maximum rank of its Mordell-Weil groups. The action of the automorphism group on the second cohomology induces a natural action on a hyperbolic space. … |
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Speaker Katharina Neusser Masaryk University A cone structure on a manifold $M$ is given by a closed submanifold $\mathcal C\subset \mathbb P TM$ of the projectived tangent bundle of $M$, which is submersive over $M$. Such geometric structures arise naturally in differential and algebraic geometry and they come often equipped with a conic … |
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Speakers Invited Lecturers (three one-hour lectures) Dawei Chen (Boston College) Gavril Farkas (Humboldt University of Berlin) Francesco Russo (University of Catania) Invited Speakers (one-hour talk) Minyoung Jeon (IBS-CCG) Donggun Lee (KIAS) Li Li (IBS-CCG) Abstracts PDF file Schedule Mar 10 (Tue) Mar 11 (Wed) Mar 12 (Thu) Mar 13 (Fri) 10:00~11:00 Russo, Lec 1 Russo, … |
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Speaker Dae-Won Lee Ewha Womans University The study of cylinders in normal projective varieties is of significant interest due to their intrinsic link to unipotent group actions on affine algebraic varieties. Over a field $\mathbb{k}$ of characteristic zero, it is known that cylindricity in lower-dimensional varieties (appearing as generic fibers) implies the existence … |
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Speaker Dae-Won Lee Ewha Womans University This talk provides a brief survey of recent results and applications concerning the anticanonical minimal model program. Furthermore, we present examples of varieties that admit an anticanonical minimal model despite not being Mori dream spaces. This talk is based on joint work with Sung Rak Choi, Sungwook … |
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