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Kavli IPMU Komaba Seminar
過去の記録 ～04/25｜次回の予定｜今後の予定 04/26～
| 開催情報 | 月曜日 16:30～18:00 数理科学研究科棟(駒場) 002号室 |
|---|---|
| 担当者 | 河野 俊丈 |
2011年01月31日(月)
16:30-18:00 数理科学研究科棟(駒場) 002号室
Kwok-Wai Chan 氏 (IPMU, the University of Tokyo)
Mirror symmetry for toric Calabi-Yau manifolds from the SYZ viewpoint (ENGLISH)
Kwok-Wai Chan 氏 (IPMU, the University of Tokyo)
Mirror symmetry for toric Calabi-Yau manifolds from the SYZ viewpoint (ENGLISH)
[ 講演概要 ]
In this talk, I will discuss mirror symmetry for toric
Calabi-Yau (CY) manifolds from the viewpoint of the SYZ program. I will
start with a special Lagrangian torus fibration on a toric CY manifold,
and then construct its instanton-corrected mirror by a T-duality modified
by quantum corrections. A remarkable feature of this construction is that
the mirror family is inherently written in canonical flat coordinates. As
a consequence, we get a conjectural enumerative meaning for the inverse
mirror maps. If time permits, I will explain the verification of this
conjecture in several examples via a formula which computes open
Gromov-Witten invariants for toric manifolds.
In this talk, I will discuss mirror symmetry for toric
Calabi-Yau (CY) manifolds from the viewpoint of the SYZ program. I will
start with a special Lagrangian torus fibration on a toric CY manifold,
and then construct its instanton-corrected mirror by a T-duality modified
by quantum corrections. A remarkable feature of this construction is that
the mirror family is inherently written in canonical flat coordinates. As
a consequence, we get a conjectural enumerative meaning for the inverse
mirror maps. If time permits, I will explain the verification of this
conjecture in several examples via a formula which computes open
Gromov-Witten invariants for toric manifolds.
