本文印刷
全画面プリント
トポロジー火曜セミナー
過去の記録 ～09/15｜次回の予定｜今後の予定 09/16～
| 開催情報 | 火曜日 17:00～18:30 数理科学研究科棟(駒場) 056号室 |
|---|---|
| 担当者 | 河澄 響矢, 北山 貴裕, 逆井卓也 |
| セミナーURL | http://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index.html |
2017年04月11日(火)
17:00-18:30 数理科学研究科棟(駒場) 056号室
Tea: Common Room 16:30-17:00
Alexander Voronov 氏 (University of Minnesota)
Homotopy Lie algebroids (ENGLISH)
Tea: Common Room 16:30-17:00
Alexander Voronov 氏 (University of Minnesota)
Homotopy Lie algebroids (ENGLISH)
[ 講演概要 ]
A well-known result of A. Vaintrob [Vai97] characterizes Lie algebroids and their morphisms in terms of homological vector fields on supermanifolds. We give an interpretation of Lie bialgebroids and their morphisms in terms of odd symplectic dg-manifolds, building on the approach of D. Roytenberg [Roy99]. This extends naturally to the homotopy Lie case and leads to the notion of L∞-bialgebroids and L∞-morphisms between them.
A well-known result of A. Vaintrob [Vai97] characterizes Lie algebroids and their morphisms in terms of homological vector fields on supermanifolds. We give an interpretation of Lie bialgebroids and their morphisms in terms of odd symplectic dg-manifolds, building on the approach of D. Roytenberg [Roy99]. This extends naturally to the homotopy Lie case and leads to the notion of L∞-bialgebroids and L∞-morphisms between them.
