报告题目：A Green function characterization of uniform rectifiability of any codimension

报告人：李林涵（爱丁堡大学）

报告时间：7月5日 下午4：00-5：30

报告地点：二教2406

摘要：

For more than a century, people have been trying to understand the precise connection between the properties of solutions of a PDE and the geometric properties of the set where the equation is given. The scenarios are particularly interesting when the coefficients of the equation are non-smooth and the set is rough. In this talk, I will present a unified characterization of rectifiability of a set of any codimension in terms of the Green function. This result is built on a series of earlier works on the Green function and a regularized distance to the set, which I will also discuss. This talk is based on joint projects with Joseph Feneuil and Svitlana Mayboroda.