YeungNam Workshop on Algebraic Geometry XVI
May 21–22, 2026
IBS POSTECH Campus
Organizers
- Jihun Park (IBS Center for Geometry and Physics & POSTECH)
Invited Speakers
- Sung Rak Choi (Yonsei University)
- In-kyun Kim (Korea Institute for Advanced Study)
- Sukjoo Lee (IBS Center for Geometry and Physics)
- Kyeong-Dong Park (Gyeongsang National University)
Venue
IBS POSTECH Campus Bldg. #301
*For the location of the conference site, click here for google map.
Program
| Time | May 21 (Thu) | May 22 (Fri) |
|---|---|---|
| 10:00 – 11:00 | Sung Rak Choi | |
| 11:00 – 11:30 | Coffee Break | |
| 11:30 – 12:30 | Kyeong-Dong Park | |
| 12:30 – 14:30 | Lunch | |
| 14:30 – 15:00 | Opening | Free Discussion & Closing |
| 15:00 – 16:00 | Sukjoo Lee | |
| 16:00 – 16:30 | Coffee Break | |
| 16:30 – 17:30 | In-kyun Kim | |
| 18:30 – | Dinner |
Abstract
Thursday, May 21
| Time | Speaker | Title & Abstract |
|---|---|---|
| 15:00 – 16:00 | Sukjoo Lee (IBS Center for Geometry and Physics) |
Rationality of Fano threefolds and fibers of Landau—Ginzburg models. Mirror symmetry predicts deep correspondences between complex algebraic geometry and symplectic geometry, relating structures such as deformations, Hodge-theoretic invariants, and period integrals. However, how birational properties—such as rationality—are reflected under mirror symmetry remains less understood. In this talk, I will explain how the rationality of Fano threefolds can be detected from the mirror side, specifically via the monodromy of generic fibers of their Landau–Ginzburg models. |
| 16:30 – 17:30 | In-kyun Kim (Korea Institute for Advanced Study) |
Cylindricity of Certain Weighted Hypersurfaces A cylinder in a projective variety is a Zariski open subset isomorphic to the product of an affine line and an affine variety. Such a cylinder often appears as the complement of a Weil divisor. In this situation, it is natural to ask how the cylindricity of the projective variety is related to the cylindricity of the divisor itself. In this talk, we first discuss cylindricity for several well-known rational varieties. We then consider the relationship between the cylindricity of a projective variety and that of divisors arising as complements of cylinders. |
Friday, May 22
| Time | Speaker | Title & Abstract |
|---|---|---|
| 10:00 – 11:00 | Sung Rak Choi (Yonsei University) |
On the Morrison-Kawamata dream space and its applications I will introduce the notion of Morrison-Kawamata dream spaces which axiomatizes the varieties that satisfy the Morrison-Kawamata cone conjecture. I will also discuss the basic theory and some properties of MKD spaces. |
| 11:00 – 12:00 | Kyeong-Dong Park (Gyeongsang National University) |
Bott vanishing for quasi-homogeneous hyperplane sections of rational homogeneous varieties For a smooth projective variety, Bott vanishing is a vanishing result for the sheaf cohomolgy groups of exterior powers of the cotangent bundle twisted by ample line bundles. The Bott-Danilov-Steenbrink theorem says that projective toric varieties satisfy Bott vanishing. On the other hand, Buch-Thomsen-Lauritzen-Mehta conjectured that a rational homogeneous variety which is not isomorphic to a product of projective spaces does not satisfy Bott vanishing. In this talk, we discuss which of quasi-homogeneous general hyperplane sections of rational homogeneous varieties with Picard number one satisfies Bott vanishing. As an application, we know that smooth projective symmetric varieties with Picard number one associated to composition algebras do not satisfy Bott vanishing. |
Contact
Soon Ok Jung (sojung@ibs.re.kr)
