报告人简介：
Thierry De Pauw is a Visiting Professor of Mathematics at NYU Shanghai. He is also Professor at the Université Paris Diderot - Paris 7 and Honorary Ma^itre 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, and Rice University in Houston, Texas. He was awarded the Jacques Deruyts prize (2004-2008) from the Royal Academy of Belgium.

报告内容简介：
If X is a smooth compact Riemannian manifold then each homology class with integer coefficients admits a mass minimizing integral current representative. This result, due to H. Federer and W.H. Fleming, relies on compactness and the isoperimetric inequality. In this talk I extend this result to a class of singular spaces X. These include semialgebraic sets, sub analytic sets, and more generally sets definable in any o-minimal structure. Simple examples of cusps show that the Euclidean isoperimetric inequality does not hold in this generality and we must settle for a weaker version. This leads to developing a theory of functions of bounded variation defined on integral currents.

主持人：周风 教授