報告題目：Construction of nilpotent Lie algebras with complex structures
報 告 人：Adela Latorre
所在單位：Universidad Politécnica de Madrid
報告時間：2023年9月21日，17:00-19:00
報告地點：Zoom id：904 645 6677 Password:2023
報告摘要: Complex manifolds can be characterized as pairs (M,J), where M is an even-dimensional differentiable manifold and J is a complex structure on it. Although the explicit construction of these J's is a difficult task, the problem can be slightly simplified when M is a nilmanifold and one restricts to the study of invariant complex structures on M. In this case, the problem of finding the pairs (M,J) is related to the classification of real nilpotent Lie algebras with complex structures. Such classification has been completed in real dimensions 4 and 6. However, the same techniques are difficult to apply when the dimension of the nilpotent Lie algebra is equal to or higher than 8. In this talk, we will present a new approach to the problem that will allow us to find every 8-dimensional real nilpotent Lie algebra having one-dimensional center and admitting complex structures.
報告人簡介：Adela Latorre works at the Department of Applied Mathematics of the Polytechnic University of Madrid (Spain). Her main research area is complex non-Kähler geometry, although she is also interested in topics related to Lie algebras and Lie groups.
