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トポロジー火曜セミナー
過去の記録 ～10/30｜次回の予定｜今後の予定 10/31～
| 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, 葉廣和夫 |
| セミナーURL | https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index.html |
2008年11月04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
Misha Verbitsky 氏 (ITEP, Moscow)
Lefschetz SL(2)-action and cohomology of Kaehler manifolds
Tea: 16:00 - 16:30 コモンルーム
Misha Verbitsky 氏 (ITEP, Moscow)
Lefschetz SL(2)-action and cohomology of Kaehler manifolds
[ 講演概要 ]
Let M be compact Kaehler manifold. It is well
known that any Kaehler form generates a Lefschetz SL(2)-triple
acting on cohomology of M. This action can be used to compute
cohomology of M. If M is a hyperkaehler manifold, of real
dimension 4n, then the subalgebra of its cohomology generated by
the second cohomology is isomorphic to a polynomial algebra,
up to the middle degree.
Let M be compact Kaehler manifold. It is well
known that any Kaehler form generates a Lefschetz SL(2)-triple
acting on cohomology of M. This action can be used to compute
cohomology of M. If M is a hyperkaehler manifold, of real
dimension 4n, then the subalgebra of its cohomology generated by
the second cohomology is isomorphic to a polynomial algebra,
up to the middle degree.
