报告题目：On signed Euler characteristic

报告人：王宏玉教授（扬州大学）

摘要：In this talk, we discuss the Chern-Hopf conjecture. Let M be a closed symplectic manifold of dimension 2n with non-ellipticity. We can dene an almost Kahler structure on M by using the given symplectic form. Using Darboux coordinate charts, we deform the given almost Kahler structure to obtain a homotopy equivalent measurable Kahler structure on the universal covering of M. Analogous to Teleman's L2-Hodge decomposition on PL manifolds or Lipschitz Riemannian manifolds, we give a L2-Hodge decomposition theorem on the universal covering of M w.r.t. the measurable Kahler metric.

报告时间：2020年12月1日16：30-17：30

报告地点：中科大东区管研楼1418