日時:金曜日 16:30 -- 18:00
会場:南大沢キャンパス8号館6階 610
世話人:赤穂まなぶ,深谷友宏,数川大輔
(以下, 敬称略)
会場:南大沢キャンパス8号館6階 618
題目:Homogeneous Lagrangian submanifolds of SL(2,R)xSL(2,R)
概要:In this talk we will analyze the nearly Kahler structure of the pseudo-Riemannian manifold SL(2,R)×SL(2,R). As an analogue of S3 × S3 , we can define a natural almost product structure P, compatible with the nearly Kahler 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, analyzing the pros and cons of each method.