# Geometric Analysis and Topology Seminar

#### Rectifiable Measures

Speaker: Raanan Schul, Stony Brook

Location: Warren Weaver Hall 517

Date: Friday, February 6, 2015, 11 a.m.

Synopsis:

When does a (locally) finite Borel measure $$\mu$$ on $$R^n$$ give full measure to a countable family of Lipschitz images of $$R$$? We discuss the question, interesting examples and known results. We will distinguish between two special cases: $$\mu$$ is absolutely continuous with respect to the 1-dimensional Hausdorff measure $$H^1$$, vs. $$\mu$$ is singular with respect to $$H^1$$. We will only assume first year graduate measure theory.