报 告 人：吴波 副教授 复旦大学
报告题目：Analysis on path space over a noncompact Riemannian manifold
时 间：
地 点：旗山校区理工楼统计实验室109
主 办：数学与计算机科学学院
报告摘要：
We construct a large class of quasi-regular Dirichlet form (including damped Dirichlet form) on path space over a general noncompact Riemannian manifold which is complete and stochastically complete. Extensions to free path spaces are also derived. In addition, we also prove a weighted Sobolev inequality with respect to the associated Dirichlet form. In particular, Poincare inequality can be established when the based manifold satisfies with some unbounded curvature conditions.