Analysis Learning Seminar

An Introduction to Rectifiable Sets and Measures

Lisa Naples (University of Connecticut)

Friday, March 23, 2018 3:30 pm
MONT 314

Geometric Measure Theory uses measure theoretic techniques to classify structural properties of sets. A set in Euclidean space can be classified by its Hausdorff dimension, but even sets of a fixed dimension can have drastically different structures.

In this talk I will introduce the notion of rectifiability as a structural property of sets, and describe a classification theorem for rectifiable sets of integer dimension. I will end by discussing some more recent extensions to rectifiability of measures.