幾何コロキウム
過去の記録 ~05/01|次回の予定|今後の予定 05/02~
開催情報 | 金曜日 10:00~11:30 数理科学研究科棟(駒場) 126号室 |
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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. |
2012年10月31日(水)
10:30-12:00 数理科学研究科棟(駒場) 128号室
入江慶 氏 (京都大学)
Hofer-Zehnder capacity and a Hamiltonian circle action with noncontractible orbits (JAPANESE)
入江慶 氏 (京都大学)
Hofer-Zehnder capacity and a Hamiltonian circle action with noncontractible orbits (JAPANESE)
[ 講演概要 ]
Hofer-Zehnder (HZ) capacity is an invariant of symplectic manifolds, which is important in symplectic topology and Hamiltonian dynamics. The energy-capacity inequality (due to Hofer and many others) claims that HZ capacity of a domain is bounded from above by its dispalcement energy.
In this talk, we prove a variant of this inequality, which is applicable to nondisplaceable domains. We also give some applications, including case of disc cotangent bundles.
Hofer-Zehnder (HZ) capacity is an invariant of symplectic manifolds, which is important in symplectic topology and Hamiltonian dynamics. The energy-capacity inequality (due to Hofer and many others) claims that HZ capacity of a domain is bounded from above by its dispalcement energy.
In this talk, we prove a variant of this inequality, which is applicable to nondisplaceable domains. We also give some applications, including case of disc cotangent bundles.