Title: Quantitative Radon-Nikodym Theorems
Speaker: Thierry De Pauw (Université Paris Diderot - Paris 7 & East China Normal University)
Time: 15:00-16:00, 21th Aug.2020
Venue: 425, School of Math.
Abstract: We will review necessary and sufficient conditions that guarantee the support of a Radon measure in Euclidean space is either rectifiable or a Holder continuously differentiable submanifold, akin Lebesgue density theorem and the Campanato spaces for functions. We will also review how these apply to regularity theory for the Plateau problem.
Thierry De Pauw is a Distinguished Professor at the School of Mathematics of East China Normal University. He is currently on leave of absence from his Professorship at the Université Paris Diderot - Paris 7, and Honorary Maître de Recherches at the F.N.R.S., Belgium. Professor De Pauw’s research interest is Mathematical Analysis. He specializes in Geometric Measure Theory, a branch of fundamental mathematics concentrating on Geometric Variational Problems, of which the paradigm is the Plateau Problem. It consists of studying the geometrical complexity of soap films and soap bubbles, including those in infinite dimensional space.
During his career, Professor De Pauw has been a long-term visitor at University College London in England, Université Paris-Sud in Orsay, France, Rice University in Houston, Texas, and NYU Shanghai University. He was awarded the Jacques Deruyts prize (2004-2008) from the Royal Academy of Belgium.
Research Interests
https://research.shanghai.nyu.edu/cn/centers-and-institutes/math/people/thierry-de-pauw
