学术报告
Fake projective spaces with cohomogeneity one actions, and their curvatures-何晨旭教授，美国加州大学河滨分校（UC Riverside）
题目: Fake projective spaces with cohomogeneity one actions, and their curvatures
报告人：何晨旭教授，美国加州大学河滨分校（UC Riverside）
摘要: A fake real projective space is a manifold that is homotopy equivalent, but not diffeomorphic, to the standard real projective space. In1964, Hirsch-Milnor discovered fake 5- and 6-projective spaces as the first such examples. They are Z_2 quotients of certain embedded standard 5- and 6-spheres inside Milnor’s exotic 7-spheres. In this talk, we show that some embedded standard 13-spheres in Shimada’s exotic 15-spheres have Z_2 quotient spaces, P^{13}s, that are fake projective spaces. These P^{13}s are octonionic analogues of the Hirsch-Milnor fake 5-dimensional projective spaces, P^5s. I will also discuss their symmetry groups and curvature properties of invariant metrics. It is a joint work with Priyanka Rajan at UC-Riverside and U. Notre Dame.
时间：8月1日，周二下午4:00-5:00PM
地点：新教二楼808教室
