报告题目：Some results concerning fractals on Riemannian manifolds

报 告 人：倪思敏教授（湖南师范大学，佐治亚南方大学）

报告时间：2022年12月26日  10:00-11:00

报告地点：zoom会议（880-9272-5143，会议密码：280366）

报告摘要：

We study iterated function systems of Riemannian manifolds, including the existence ofLq-dimension and separation properties. For a bounded open set  in a complete n-dimensionaloriented Riemannian manifold and a positive finite Borel measure u with support contained inthe closure of 2, we also define an associated Dirichlet Laplacian by assuming the Poincareinequality. We obtain sufficient conditions for the Laplacian to have compact resolvent andprove the Hodge theorem for functions. This work is joint with Lei Ouyang and Yangyang Xu.