トポロジー火曜セミナー

過去の記録 ~03/27次回の予定今後の予定 03/28~

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

2012年05月01日(火)

16:30-18:00   数理科学研究科棟(駒場) 056号室
Tea: 16:00 - 16:30 コモンルーム
糟谷 久矢 氏 (東京大学大学院数理科学研究科)
Minimal models, formality and hard Lefschetz property of
solvmanifolds with local systems (JAPANESE)
[ 講演概要 ]
For a simply connected solvable Lie group G with a
cocompact discrete subgroup {\\Gamma}, we consider the space of
differential forms on the solvmanifold G/{\\Gamma} with values in certain
flat bundle so that this space has a structure of a differential graded
algebra(DGA). We construct Sullivan's minimal model of this DGA. This
result is an extension of Nomizu's theorem for ordinary coefficients in
the nilpotent case. By using this result, we refine Hasegawa's result of
formality of nilmanifolds and Benson-Gordon's result of hard Lefschetz
properties of nilmanifolds.