Kavli IPMU Komaba Seminar
過去の記録 ~05/01|次回の予定|今後の予定 05/02~
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 |
2007年10月15日(月)
17:00-18:30 数理科学研究科棟(駒場) 002号室
Shinobu Hosono 氏 (The University of Tokyo)
Topics on string theory, mirror symmetry, and Gromov-Witten invariants
Shinobu Hosono 氏 (The University of Tokyo)
Topics on string theory, mirror symmetry, and Gromov-Witten invariants
[ 講演概要 ]
Recently, some technical developments in solving BCOV
(Bershadsky-Cecotti-Ooguri-Vafa) holomorphic anomaly equation has been
made and it has become possible to predict higher genus Gromov-Witten
invariants for some class of Calabi-Yau 3 folds.
With a brief introduction to BCOV equation, I will present some
predictions for Gromov-Witten invariants of certain Calabi-Yau 3 folds,
which are not birational but derived equivalent. (This is based on
a work with Y. Konishi which appeared in mathAG/0704.2928.)
Before coming to this specific topic, I will review some recent
topics of the homological mirror symmetry focusing on
its connection to the `classical' mirror symmetry, where the
variation theory of Hodge structures (VHS) plays a central role.
The BCOV equation and its open string generalization have their grounds
on the VHS.
Recently, some technical developments in solving BCOV
(Bershadsky-Cecotti-Ooguri-Vafa) holomorphic anomaly equation has been
made and it has become possible to predict higher genus Gromov-Witten
invariants for some class of Calabi-Yau 3 folds.
With a brief introduction to BCOV equation, I will present some
predictions for Gromov-Witten invariants of certain Calabi-Yau 3 folds,
which are not birational but derived equivalent. (This is based on
a work with Y. Konishi which appeared in mathAG/0704.2928.)
Before coming to this specific topic, I will review some recent
topics of the homological mirror symmetry focusing on
its connection to the `classical' mirror symmetry, where the
variation theory of Hodge structures (VHS) plays a central role.
The BCOV equation and its open string generalization have their grounds
on the VHS.