报告题目：Homogeneous Lagrangian submanifolds of the nearly Kähler SL(2,R)×SL(2,R)
时 间：2024年5月15日（星期三）10:55
地 点：理工楼601；腾讯会议: 456244546, 密码：0515
主办单位： 数学与统计学院、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、统计学与人工智能福建省高校重点实验室、福建省应用数学中心（福建师范大学）
参加对象： 感兴趣的老师和研究生
报告摘要: In this talk we will analyse the nearly Kähler structure of the pseudo-Riemannian manifold SL(2,R)×SL(2,R). We can define a natural almost product structure P, compatible with the nearly Kähler metric, by swapping the vector fields tangent to each component of SL(2,R)×SL(2,R). Given a Lagrangian submanifold M, we will study the different forms the restriction P|TM can take. We will give a classification result for extrinsically homogeneous Lagrangian submanifolds of SL(2,R)×SL(2,R). We will study two different ways that we can obtain this result, analysing the pros and cons of each method.
报告人简介：Mateo Anarella is a PhD student of KU Leuven, mainly working on differential geometry.