POHANG ALGEBRAIC GEOMETRY SEMINAR
- Seminars will be held in Math Building Room#404 at 2:00-3:30 on Fridays
- Everyone is welcome.
- For more information, please contact S.Choi at sungrakc#ibs.re.kr
- This
seminar series is supported by
the Institute for Basic Science, Center for Geometry and Physics
.
|
2013 FALL |
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PAST SEMINARS: |
| 1. SEP 13 | SPEAKER: Choi, Sung Rak, IBS CGP |
| TITLE: Nakamaye theorem and Moriwaki divisors | |
| ABSTRACT: I will give a survey on the recent results on the Nakamaye theorem and Moriwaki divisors. | |
| 2. SEP 20 | 추석, 中秋节, Korean thanksgiving holiday |
| 3. SEP 27 | SPEAKER: Zhi, Zhixian, KIAS |
| TITLE: Log Canonical thresholds in positive characteristic | |
| ABSTRACT: For a smooth variety X in characteristic 0, Ein, Lazarsfeld andMustata showed that there is a correspondence between irreducible closed cylinders anddivisorial valuations on X. Via this correspondence, one can relate the codimension ofa cylinder to the log discrepancy of the corresponding divisorial valuation. In this talk, I will explain how to extend this result to positive characteristic. | |
| 4. OCT 4 | SPEAKER: Yoon, Youngho, IBS CGP |
| TITLE: Singularity invariants related to Milnor fibers | |
| ABSTRACT: Milnor fiber is a smooth object related to hypersurface singularities. We can define invariants of singularities from this object and relate to other singularity invariants. I will start with the definition of singularity and then focus on the Milnor fiber of hypersurface singularities. If time allows, we will see an example of hyperplane arrangement or generalizations of Milnor fiber. | |
| 5. OCT 11 | SPEAKER: Choi, Jinwon, KIAS/CMC(Center for Mathematical Challenges) |
| TITLE: Torus localization and the stable pairs | |
| ABSTRACT: By the classical Bialynicki-Birula decomposition when we have an action of an algebraic torus, the topological invariants for the moduli space are obtained by classifying its torus fixed locus and computing the torus representation of the tangent space at each fixed point. In the first part of the talk, we explain this technique with examples such as the Hilbert schemes and the moduli spaces of stable pairs. In the second part, we extend the method to define the refined stable pair invariants for local toric Calabi-Yau threefolds. A product formula for their generating function is proposed as a generalization of the motivic product formula of Morrison, Mozgovoy, Nagao, and Szendroi for local P^1. If time permits, we will also describe how the product formula can be understood by the wall-crossing in \alpha-stable pairs. This is joint work with Sheldon Katz and Albrecht Klemm. | |
| 6. OCT 18 | No seminar |
| 7. OCT 25 | No seminar due to KMS meeting. |
| 8. NOV 1(?) | SPEAKER: Jang, Junmyeong, Ulsan University |
| TITLE: Enriques K3 surfaces over odd characteristic | |
| ABSTRACT: In this talk, we will see a criterion for a K3 surface to be the cover of an Enriques surface over odd characteristic. | |
| 9. NOV 8 | Thesis defense (Kim, Inkyun) |
| 10. NOV 15 | No seminar |
| 11. NOV 22 | SPEAKER: Shin, Jaeho, KIAS |
| TITLE: The surjectivity of the reduction map for Alexeev's space | |
| ABSTRACT: DOWNLOAD | |
| 12. NOV 29 | No seminar |
| 13. DEC 6 | No seminar |
| 14. DEC 13 | SPEAKER: Fujita, Kento, RIMS |
| TITLE: Semi-terminal modifications of demi-normal pairs | |
| ABSTRACT: It is a classical result that for a normal algebraic surface there exists the minimal resolution. In this talk, we want to talk about its reducible and higher-dimensional version. | |
|
15. DEC 17 4 PM at CGP HALL |
SPEAKER: Joonyeong, Won, KIAS |
| TITLE: Survey on birational rigid Fano complete intersections | |
| ABSTRACT: We survey some results of birational rigidity on Fano complete intersections in projective space by Pukhlikov. |