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| 開催情報 | 金曜日 10:00～11:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 植田一石，金井雅彦，二木昭人 |
| 備考 | 開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください. |
2013年01月30日(水)
10:30-12:00 数理科学研究科棟(駒場) 128号室
開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください.
小林亮一 氏 (名古屋大学)
Hamiltonian Volume Minimizing Property of Maximal Torus Orbits in the Complex Projective Space (JAPANESE)
開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください.
小林亮一 氏 (名古屋大学)
Hamiltonian Volume Minimizing Property of Maximal Torus Orbits in the Complex Projective Space (JAPANESE)
[ 講演概要 ]
We prove that any U(1)n-orbit in BbbPn is volume minimizing under Hamiltonian deformation.
The idea of the proof is :
- (1) We extend one U(1)n-orbit to the momentum torus fibration TttinDeltan and consider its Hamiltonian deformation phi(Tt)tinDeltan where phi is a Hamiltobian diffeomorphism of BbbPn,
and then :
- (2) We compare each U(1)n-orbit and its Hamiltonian deformation by compaing the large k asymptotic behavior of the sequence of projective embeddings defined, for each k, by the basis of H0(BbbPn,CalO(k)) obtained by semi-classical approximation of the CalO(k) Bohr-Sommerfeld tori of the Lagrangian torus fibration TttinDeltan and its Hamiltonian deformation phi(Tt)tinDeltan.
We prove that any U(1)n-orbit in BbbPn is volume minimizing under Hamiltonian deformation.
The idea of the proof is :
- (1) We extend one U(1)n-orbit to the momentum torus fibration TttinDeltan and consider its Hamiltonian deformation phi(Tt)tinDeltan where phi is a Hamiltobian diffeomorphism of BbbPn,
and then :
- (2) We compare each U(1)n-orbit and its Hamiltonian deformation by compaing the large k asymptotic behavior of the sequence of projective embeddings defined, for each k, by the basis of H0(BbbPn,CalO(k)) obtained by semi-classical approximation of the CalO(k) Bohr-Sommerfeld tori of the Lagrangian torus fibration TttinDeltan and its Hamiltonian deformation phi(Tt)tinDeltan.
