The program is focused on some the most vibrant developments in function theory related to the celebrated Whitney extension and trace problems for classes of smooth functions. These include new analytic and geometric methods in the study of Lipschitz structures on finite sets, extension and trace problems for functions in Sobolev spaces, simultaneous extensions of Lipschitz functions from subsets of metric spaces, Helly type Lipschitz selection problems, etc.

Objectives

The objective of the program is to bring together an international group of experts in the areas of function theory and functional and geometric analysis to report on and discuss recent progress and open problems in the area of Whitney type problems and thus foster interaction and collaboration between researches in these fields.